Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [64,2,Mod(5,64)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(64, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("64.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 64 = 2^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 64.i (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.511042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 5.6 | ||
Character | \(\chi\) | \(=\) | 64.5 |
Dual form | 64.2.i.a.13.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(63\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.19265 | + | 0.759993i | 0.843330 | + | 0.537396i | ||||
\(3\) | 0.0799701 | + | 0.0534343i | 0.0461708 | + | 0.0308503i | 0.578441 | − | 0.815724i | \(-0.303661\pi\) |
−0.532271 | + | 0.846574i | \(0.678661\pi\) | |||||||
\(4\) | 0.844823 | + | 1.81281i | 0.422411 | + | 0.906404i | ||||
\(5\) | −3.47403 | − | 0.691028i | −1.55363 | − | 0.309037i | −0.657719 | − | 0.753263i | \(-0.728479\pi\) |
−0.895915 | + | 0.444226i | \(0.853479\pi\) | |||||||
\(6\) | 0.0547666 | + | 0.124505i | 0.0223584 | + | 0.0508290i | ||||
\(7\) | 1.22800 | − | 2.96465i | 0.464140 | − | 1.12053i | −0.502542 | − | 0.864553i | \(-0.667602\pi\) |
0.966682 | − | 0.255980i | \(-0.0823981\pi\) | |||||||
\(8\) | −0.370144 | + | 2.80410i | −0.130866 | + | 0.991400i | ||||
\(9\) | −1.14451 | − | 2.76309i | −0.381503 | − | 0.921031i | ||||
\(10\) | −3.61812 | − | 3.46439i | −1.14415 | − | 1.09554i | ||||
\(11\) | 2.79833 | + | 4.18799i | 0.843727 | + | 1.26273i | 0.962901 | + | 0.269854i | \(0.0869753\pi\) |
−0.119174 | + | 0.992873i | \(0.538025\pi\) | |||||||
\(12\) | −0.0293056 | + | 0.190113i | −0.00845981 | + | 0.0548809i | ||||
\(13\) | −1.09820 | + | 0.218446i | −0.304586 | + | 0.0605860i | −0.345017 | − | 0.938596i | \(-0.612127\pi\) |
0.0404309 | + | 0.999182i | \(0.487127\pi\) | |||||||
\(14\) | 3.71768 | − | 2.60252i | 0.993593 | − | 0.695552i | ||||
\(15\) | −0.240894 | − | 0.240894i | −0.0621986 | − | 0.0621986i | ||||
\(16\) | −2.57255 | + | 3.06300i | −0.643137 | + | 0.765751i | ||||
\(17\) | −2.65418 | + | 2.65418i | −0.643732 | + | 0.643732i | −0.951471 | − | 0.307739i | \(-0.900428\pi\) |
0.307739 | + | 0.951471i | \(0.400428\pi\) | |||||||
\(18\) | 0.734931 | − | 4.16522i | 0.173225 | − | 0.981751i | ||||
\(19\) | −0.382328 | − | 1.92209i | −0.0877120 | − | 0.440958i | −0.999538 | − | 0.0303820i | \(-0.990328\pi\) |
0.911826 | − | 0.410576i | \(-0.134672\pi\) | |||||||
\(20\) | −1.68224 | − | 6.88155i | −0.376160 | − | 1.53876i | ||||
\(21\) | 0.256617 | − | 0.171466i | 0.0559985 | − | 0.0374170i | ||||
\(22\) | 0.154578 | + | 7.12151i | 0.0329562 | + | 1.51831i | ||||
\(23\) | 1.03743 | − | 0.429717i | 0.216319 | − | 0.0896023i | −0.271892 | − | 0.962328i | \(-0.587649\pi\) |
0.488211 | + | 0.872725i | \(0.337649\pi\) | |||||||
\(24\) | −0.179436 | + | 0.204466i | −0.0366272 | + | 0.0417364i | ||||
\(25\) | 6.97198 | + | 2.88789i | 1.39440 | + | 0.577578i | ||||
\(26\) | −1.47579 | − | 0.574096i | −0.289425 | − | 0.112589i | ||||
\(27\) | 0.112408 | − | 0.565114i | 0.0216330 | − | 0.108756i | ||||
\(28\) | 6.41178 | − | 0.278478i | 1.21171 | − | 0.0526274i | ||||
\(29\) | −0.389126 | + | 0.582369i | −0.0722590 | + | 0.108143i | −0.865839 | − | 0.500323i | \(-0.833215\pi\) |
0.793580 | + | 0.608466i | \(0.208215\pi\) | |||||||
\(30\) | −0.104224 | − | 0.470380i | −0.0190287 | − | 0.0858792i | ||||
\(31\) | 3.88281i | 0.697373i | 0.937239 | + | 0.348687i | \(0.113372\pi\) | ||||
−0.937239 | + | 0.348687i | \(0.886628\pi\) | |||||||
\(32\) | −5.39601 | + | 1.69797i | −0.953888 | + | 0.300161i | ||||
\(33\) | 0.484441i | 0.0843303i | ||||||||
\(34\) | −5.18265 | + | 1.14835i | −0.888818 | + | 0.196940i | ||||
\(35\) | −6.31476 | + | 9.45071i | −1.06739 | + | 1.59746i | ||||
\(36\) | 4.04205 | − | 4.40910i | 0.673675 | − | 0.734850i | ||||
\(37\) | 0.183408 | − | 0.922056i | 0.0301522 | − | 0.151585i | −0.962776 | − | 0.270299i | \(-0.912877\pi\) |
0.992928 | + | 0.118714i | \(0.0378773\pi\) | |||||||
\(38\) | 1.00479 | − | 2.58295i | 0.162999 | − | 0.419009i | ||||
\(39\) | −0.0994958 | − | 0.0412125i | −0.0159321 | − | 0.00659928i | ||||
\(40\) | 3.22361 | − | 9.48576i | 0.509697 | − | 1.49983i | ||||
\(41\) | 7.08379 | − | 2.93420i | 1.10630 | − | 0.458245i | 0.246640 | − | 0.969107i | \(-0.420674\pi\) |
0.859663 | + | 0.510862i | \(0.170674\pi\) | |||||||
\(42\) | 0.436367 | − | 0.00947173i | 0.0673329 | − | 0.00146152i | ||||
\(43\) | 5.66688 | − | 3.78649i | 0.864191 | − | 0.577434i | −0.0425633 | − | 0.999094i | \(-0.513552\pi\) |
0.906754 | + | 0.421660i | \(0.138552\pi\) | |||||||
\(44\) | −5.22794 | + | 8.61094i | −0.788141 | + | 1.29815i | ||||
\(45\) | 2.06669 | + | 10.3900i | 0.308084 | + | 1.54884i | ||||
\(46\) | 1.56387 | + | 0.275937i | 0.230580 | + | 0.0406847i | ||||
\(47\) | 2.32284 | − | 2.32284i | 0.338820 | − | 0.338820i | −0.517103 | − | 0.855923i | \(-0.672990\pi\) |
0.855923 | + | 0.517103i | \(0.172990\pi\) | |||||||
\(48\) | −0.369397 | + | 0.107486i | −0.0533178 | + | 0.0155143i | ||||
\(49\) | −2.33143 | − | 2.33143i | −0.333061 | − | 0.333061i | ||||
\(50\) | 6.12035 | + | 8.74289i | 0.865548 | + | 1.23643i | ||||
\(51\) | −0.354079 | + | 0.0704307i | −0.0495810 | + | 0.00986226i | ||||
\(52\) | −1.32379 | − | 1.80628i | −0.183576 | − | 0.250486i | ||||
\(53\) | −5.11546 | − | 7.65583i | −0.702662 | − | 1.05161i | −0.995436 | − | 0.0954269i | \(-0.969578\pi\) |
0.292774 | − | 0.956182i | \(-0.405422\pi\) | |||||||
\(54\) | 0.563546 | − | 0.588554i | 0.0766889 | − | 0.0800920i | ||||
\(55\) | −6.82746 | − | 16.4829i | −0.920614 | − | 2.22256i | ||||
\(56\) | 7.85865 | + | 4.54078i | 1.05016 | + | 0.606788i | ||||
\(57\) | 0.0721309 | − | 0.174139i | 0.00955396 | − | 0.0230653i | ||||
\(58\) | −0.906687 | + | 0.398828i | −0.119054 | + | 0.0523687i | ||||
\(59\) | −3.76937 | − | 0.749773i | −0.490730 | − | 0.0976122i | −0.0564780 | − | 0.998404i | \(-0.517987\pi\) |
−0.434252 | + | 0.900792i | \(0.642987\pi\) | |||||||
\(60\) | 0.233182 | − | 0.640208i | 0.0301037 | − | 0.0826504i | ||||
\(61\) | −2.78586 | − | 1.86145i | −0.356692 | − | 0.238334i | 0.364293 | − | 0.931284i | \(-0.381311\pi\) |
−0.720986 | + | 0.692950i | \(0.756311\pi\) | |||||||
\(62\) | −2.95091 | + | 4.63083i | −0.374766 | + | 0.588116i | ||||
\(63\) | −9.59706 | −1.20912 | ||||||||
\(64\) | −7.72599 | − | 2.07585i | −0.965748 | − | 0.259481i | ||||
\(65\) | 3.96614 | 0.491939 | ||||||||
\(66\) | −0.368171 | + | 0.577768i | −0.0453188 | + | 0.0711183i | ||||
\(67\) | −5.52163 | − | 3.68943i | −0.674574 | − | 0.450736i | 0.170519 | − | 0.985354i | \(-0.445455\pi\) |
−0.845094 | + | 0.534618i | \(0.820455\pi\) | |||||||
\(68\) | −7.05382 | − | 2.56920i | −0.855401 | − | 0.311562i | ||||
\(69\) | 0.105925 | + | 0.0210698i | 0.0127519 | + | 0.00253650i | ||||
\(70\) | −14.7138 | + | 6.47220i | −1.75863 | + | 0.773576i | ||||
\(71\) | −3.72629 | + | 8.99606i | −0.442229 | + | 1.06764i | 0.532936 | + | 0.846156i | \(0.321089\pi\) |
−0.975165 | + | 0.221480i | \(0.928911\pi\) | |||||||
\(72\) | 8.17163 | − | 2.18658i | 0.963036 | − | 0.257691i | ||||
\(73\) | −0.610714 | − | 1.47439i | −0.0714786 | − | 0.172565i | 0.884102 | − | 0.467293i | \(-0.154771\pi\) |
−0.955581 | + | 0.294729i | \(0.904771\pi\) | |||||||
\(74\) | 0.919498 | − | 0.960300i | 0.106889 | − | 0.111633i | ||||
\(75\) | 0.403237 | + | 0.603488i | 0.0465619 | + | 0.0696847i | ||||
\(76\) | 3.16138 | − | 2.31691i | 0.362636 | − | 0.265768i | ||||
\(77\) | 15.8523 | − | 3.15321i | 1.80653 | − | 0.359342i | ||||
\(78\) | −0.0873423 | − | 0.124768i | −0.00988957 | − | 0.0141272i | ||||
\(79\) | 8.22980 | + | 8.22980i | 0.925925 | + | 0.925925i | 0.997440 | − | 0.0715143i | \(-0.0227832\pi\) |
−0.0715143 | + | 0.997440i | \(0.522783\pi\) | |||||||
\(80\) | 11.0537 | − | 8.86327i | 1.23585 | − | 0.990943i | ||||
\(81\) | −6.30515 | + | 6.30515i | −0.700572 | + | 0.700572i | ||||
\(82\) | 10.6784 | + | 1.88416i | 1.17924 | + | 0.208070i | ||||
\(83\) | −1.83962 | − | 9.24837i | −0.201924 | − | 1.01514i | −0.940195 | − | 0.340636i | \(-0.889357\pi\) |
0.738271 | − | 0.674504i | \(-0.235643\pi\) | |||||||
\(84\) | 0.527631 | + | 0.320339i | 0.0575693 | + | 0.0349519i | ||||
\(85\) | 11.0548 | − | 7.38658i | 1.19906 | − | 0.801187i | ||||
\(86\) | 9.63630 | − | 0.209164i | 1.03911 | − | 0.0225547i | ||||
\(87\) | −0.0622370 | + | 0.0257794i | −0.00667250 | + | 0.00276384i | ||||
\(88\) | −12.7793 | + | 6.29663i | −1.36228 | + | 0.671223i | ||||
\(89\) | −12.0003 | − | 4.97070i | −1.27203 | − | 0.526893i | −0.358451 | − | 0.933548i | \(-0.616695\pi\) |
−0.913582 | + | 0.406655i | \(0.866695\pi\) | |||||||
\(90\) | −5.43145 | + | 13.9622i | −0.572526 | + | 1.47175i | ||||
\(91\) | −0.700974 | + | 3.52403i | −0.0734821 | + | 0.369419i | ||||
\(92\) | 1.65544 | + | 1.51763i | 0.172591 | + | 0.158223i | ||||
\(93\) | −0.207475 | + | 0.310509i | −0.0215142 | + | 0.0321983i | ||||
\(94\) | 4.53566 | − | 1.00499i | 0.467818 | − | 0.103657i | ||||
\(95\) | 6.94161i | 0.712194i | ||||||||
\(96\) | −0.522249 | − | 0.152545i | −0.0533018 | − | 0.0155691i | ||||
\(97\) | 5.29500i | 0.537626i | 0.963192 | + | 0.268813i | \(0.0866314\pi\) | ||||
−0.963192 | + | 0.268813i | \(0.913369\pi\) | |||||||
\(98\) | −1.00871 | − | 4.55244i | −0.101895 | − | 0.459866i | ||||
\(99\) | 8.36909 | − | 12.5252i | 0.841126 | − | 1.25883i | ||||
\(100\) | 0.654897 | + | 15.0786i | 0.0654897 | + | 1.50786i | ||||
\(101\) | −3.13084 | + | 15.7398i | −0.311530 | + | 1.56617i | 0.434760 | + | 0.900547i | \(0.356833\pi\) |
−0.746290 | + | 0.665621i | \(0.768167\pi\) | |||||||
\(102\) | −0.475818 | − | 0.185098i | −0.0471130 | − | 0.0183275i | ||||
\(103\) | 17.4336 | + | 7.22122i | 1.71778 | + | 0.711528i | 0.999882 | + | 0.0153816i | \(0.00489631\pi\) |
0.717900 | + | 0.696147i | \(0.245104\pi\) | |||||||
\(104\) | −0.206052 | − | 3.16033i | −0.0202050 | − | 0.309895i | ||||
\(105\) | −1.00998 | + | 0.418349i | −0.0985644 | + | 0.0408267i | ||||
\(106\) | −0.282576 | − | 13.0184i | −0.0274462 | − | 1.26446i | ||||
\(107\) | 4.11276 | − | 2.74806i | 0.397596 | − | 0.265665i | −0.340659 | − | 0.940187i | \(-0.610650\pi\) |
0.738255 | + | 0.674522i | \(0.235650\pi\) | |||||||
\(108\) | 1.11941 | − | 0.273647i | 0.107715 | − | 0.0263317i | ||||
\(109\) | 0.0475309 | + | 0.238954i | 0.00455264 | + | 0.0228876i | 0.982995 | − | 0.183633i | \(-0.0587859\pi\) |
−0.978442 | + | 0.206521i | \(0.933786\pi\) | |||||||
\(110\) | 4.38415 | − | 24.8472i | 0.418012 | − | 2.36908i | ||||
\(111\) | 0.0639366 | − | 0.0639366i | 0.00606860 | − | 0.00606860i | ||||
\(112\) | 5.92165 | + | 11.3881i | 0.559543 | + | 1.07607i | ||||
\(113\) | −6.95720 | − | 6.95720i | −0.654478 | − | 0.654478i | 0.299590 | − | 0.954068i | \(-0.403150\pi\) |
−0.954068 | + | 0.299590i | \(0.903150\pi\) | |||||||
\(114\) | 0.218371 | − | 0.152868i | 0.0204523 | − | 0.0143174i | ||||
\(115\) | −3.90101 | + | 0.775959i | −0.363771 | + | 0.0723586i | ||||
\(116\) | −1.38447 | − | 0.213413i | −0.128544 | − | 0.0198149i | ||||
\(117\) | 1.86049 | + | 2.78442i | 0.172002 | + | 0.257420i | ||||
\(118\) | −3.92571 | − | 3.75891i | −0.361391 | − | 0.346035i | ||||
\(119\) | 4.60938 | + | 11.1280i | 0.422541 | + | 1.02010i | ||||
\(120\) | 0.764657 | − | 0.586326i | 0.0698033 | − | 0.0535240i | ||||
\(121\) | −5.49912 | + | 13.2761i | −0.499920 | + | 1.20691i | ||||
\(122\) | −1.90786 | − | 4.33728i | −0.172730 | − | 0.392679i | ||||
\(123\) | 0.723279 | + | 0.143869i | 0.0652158 | + | 0.0129722i | ||||
\(124\) | −7.03879 | + | 3.28029i | −0.632102 | + | 0.294578i | ||||
\(125\) | −7.49955 | − | 5.01104i | −0.670780 | − | 0.448201i | ||||
\(126\) | −11.4459 | − | 7.29369i | −1.01968 | − | 0.649774i | ||||
\(127\) | −7.76241 | −0.688803 | −0.344401 | − | 0.938823i | \(-0.611918\pi\) | ||||
−0.344401 | + | 0.938823i | \(0.611918\pi\) | |||||||
\(128\) | −7.63676 | − | 8.34745i | −0.675001 | − | 0.737817i | ||||
\(129\) | 0.655509 | 0.0577144 | ||||||||
\(130\) | 4.73021 | + | 3.01424i | 0.414867 | + | 0.264366i | ||||
\(131\) | 12.3086 | + | 8.22432i | 1.07540 | + | 0.718562i | 0.961465 | − | 0.274926i | \(-0.0886533\pi\) |
0.113939 | + | 0.993488i | \(0.463653\pi\) | |||||||
\(132\) | −0.878198 | + | 0.409267i | −0.0764374 | + | 0.0356221i | ||||
\(133\) | −6.16783 | − | 1.22686i | −0.534819 | − | 0.106382i | ||||
\(134\) | −3.78142 | − | 8.59660i | −0.326665 | − | 0.742633i | ||||
\(135\) | −0.781020 | + | 1.88555i | −0.0672195 | + | 0.162282i | ||||
\(136\) | −6.46015 | − | 8.42501i | −0.553954 | − | 0.722439i | ||||
\(137\) | −5.36370 | − | 12.9491i | −0.458252 | − | 1.10632i | −0.969105 | − | 0.246650i | \(-0.920670\pi\) |
0.510853 | − | 0.859668i | \(-0.329330\pi\) | |||||||
\(138\) | 0.110318 | + | 0.105631i | 0.00939093 | + | 0.00899191i | ||||
\(139\) | 0.749892 | + | 1.12229i | 0.0636050 | + | 0.0951917i | 0.861909 | − | 0.507063i | \(-0.169269\pi\) |
−0.798304 | + | 0.602255i | \(0.794269\pi\) | |||||||
\(140\) | −22.4672 | − | 3.46328i | −1.89882 | − | 0.292701i | ||||
\(141\) | 0.309877 | − | 0.0616383i | 0.0260963 | − | 0.00519088i | ||||
\(142\) | −11.2811 | + | 7.89718i | −0.946688 | + | 0.662717i | ||||
\(143\) | −3.98798 | − | 3.98798i | −0.333491 | − | 0.333491i | ||||
\(144\) | 11.4077 | + | 3.60255i | 0.950639 | + | 0.300213i | ||||
\(145\) | 1.75427 | − | 1.75427i | 0.145684 | − | 0.145684i | ||||
\(146\) | 0.392161 | − | 2.22257i | 0.0324555 | − | 0.183941i | ||||
\(147\) | −0.0618662 | − | 0.311022i | −0.00510264 | − | 0.0256527i | ||||
\(148\) | 1.82646 | − | 0.446490i | 0.150134 | − | 0.0367012i | ||||
\(149\) | 1.76585 | − | 1.17991i | 0.144664 | − | 0.0966617i | −0.481132 | − | 0.876648i | \(-0.659774\pi\) |
0.625796 | + | 0.779987i | \(0.284774\pi\) | |||||||
\(150\) | 0.0222747 | + | 1.02621i | 0.00181872 | + | 0.0837894i | ||||
\(151\) | 4.00592 | − | 1.65931i | 0.325997 | − | 0.135033i | −0.213682 | − | 0.976903i | \(-0.568546\pi\) |
0.539679 | + | 0.841871i | \(0.318546\pi\) | |||||||
\(152\) | 5.53126 | − | 0.360635i | 0.448644 | − | 0.0292514i | ||||
\(153\) | 10.3715 | + | 4.29600i | 0.838483 | + | 0.347311i | ||||
\(154\) | 21.3026 | + | 8.28693i | 1.71661 | + | 0.667780i | ||||
\(155\) | 2.68313 | − | 13.4890i | 0.215514 | − | 1.08346i | ||||
\(156\) | −0.00934591 | − | 0.215184i | −0.000748272 | − | 0.0172285i | ||||
\(157\) | 2.07839 | − | 3.11052i | 0.165873 | − | 0.248247i | −0.739216 | − | 0.673468i | \(-0.764804\pi\) |
0.905089 | + | 0.425221i | \(0.139804\pi\) | |||||||
\(158\) | 3.56068 | + | 16.0699i | 0.283272 | + | 1.27845i | ||||
\(159\) | − | 0.885578i | − | 0.0702309i | ||||||
\(160\) | 19.9192 | − | 2.17001i | 1.57475 | − | 0.171554i | ||||
\(161\) | − | 3.60331i | − | 0.283980i | ||||||
\(162\) | −12.3117 | + | 2.72796i | −0.967299 | + | 0.214329i | ||||
\(163\) | −13.3708 | + | 20.0108i | −1.04728 | + | 1.56736i | −0.245820 | + | 0.969316i | \(0.579057\pi\) |
−0.801460 | + | 0.598049i | \(0.795943\pi\) | |||||||
\(164\) | 11.3037 | + | 10.3627i | 0.882670 | + | 0.809189i | ||||
\(165\) | 0.334762 | − | 1.68296i | 0.0260612 | − | 0.131018i | ||||
\(166\) | 4.83468 | − | 12.4282i | 0.375244 | − | 0.964612i | ||||
\(167\) | −15.6357 | − | 6.47650i | −1.20992 | − | 0.501167i | −0.315730 | − | 0.948849i | \(-0.602250\pi\) |
−0.894193 | + | 0.447682i | \(0.852250\pi\) | |||||||
\(168\) | 0.385823 | + | 0.783048i | 0.0297669 | + | 0.0604135i | ||||
\(169\) | −10.8521 | + | 4.49509i | −0.834777 | + | 0.345776i | ||||
\(170\) | 18.7982 | − | 0.408032i | 1.44176 | − | 0.0312946i | ||||
\(171\) | −4.87334 | + | 3.25626i | −0.372673 | + | 0.249012i | ||||
\(172\) | 11.6517 | + | 7.07405i | 0.888432 | + | 0.539392i | ||||
\(173\) | −1.28256 | − | 6.44786i | −0.0975112 | − | 0.490222i | −0.998419 | − | 0.0562112i | \(-0.982098\pi\) |
0.900908 | − | 0.434011i | \(-0.142902\pi\) | |||||||
\(174\) | −0.0938190 | − | 0.0165539i | −0.00711240 | − | 0.00125494i | ||||
\(175\) | 17.1232 | − | 17.1232i | 1.29439 | − | 1.29439i | ||||
\(176\) | −20.0267 | − | 2.20253i | −1.50957 | − | 0.166022i | ||||
\(177\) | −0.261373 | − | 0.261373i | −0.0196460 | − | 0.0196460i | ||||
\(178\) | −10.5345 | − | 15.0485i | −0.789593 | − | 1.12793i | ||||
\(179\) | 23.4172 | − | 4.65797i | 1.75028 | − | 0.348153i | 0.787064 | − | 0.616872i | \(-0.211600\pi\) |
0.963219 | + | 0.268719i | \(0.0866003\pi\) | |||||||
\(180\) | −17.0890 | + | 12.5242i | −1.27374 | + | 0.933498i | ||||
\(181\) | 4.98506 | + | 7.46067i | 0.370537 | + | 0.554547i | 0.969144 | − | 0.246495i | \(-0.0792790\pi\) |
−0.598607 | + | 0.801043i | \(0.704279\pi\) | |||||||
\(182\) | −3.51426 | + | 3.67020i | −0.260494 | + | 0.272053i | ||||
\(183\) | −0.123320 | − | 0.297721i | −0.00911607 | − | 0.0220081i | ||||
\(184\) | 0.820973 | + | 3.06812i | 0.0605229 | + | 0.226185i | ||||
\(185\) | −1.27433 | + | 3.07651i | −0.0936908 | + | 0.226190i | ||||
\(186\) | −0.483430 | + | 0.212648i | −0.0354468 | + | 0.0155921i | ||||
\(187\) | −18.5429 | − | 3.68842i | −1.35599 | − | 0.269724i | ||||
\(188\) | 6.17324 | + | 2.24847i | 0.450230 | + | 0.163987i | ||||
\(189\) | −1.53733 | − | 1.02721i | −0.111824 | − | 0.0747186i | ||||
\(190\) | −5.27557 | + | 8.27890i | −0.382730 | + | 0.600614i | ||||
\(191\) | 15.9816 | 1.15639 | 0.578195 | − | 0.815899i | \(-0.303757\pi\) | ||||
0.578195 | + | 0.815899i | \(0.303757\pi\) | |||||||
\(192\) | −0.506927 | − | 0.578838i | −0.0365843 | − | 0.0417741i | ||||
\(193\) | 3.68140 | 0.264993 | 0.132496 | − | 0.991183i | \(-0.457701\pi\) | ||||
0.132496 | + | 0.991183i | \(0.457701\pi\) | |||||||
\(194\) | −4.02416 | + | 6.31508i | −0.288918 | + | 0.453396i | ||||
\(195\) | 0.317173 | + | 0.211928i | 0.0227132 | + | 0.0151765i | ||||
\(196\) | 2.25679 | − | 6.19607i | 0.161199 | − | 0.442576i | ||||
\(197\) | 11.0892 | + | 2.20577i | 0.790070 | + | 0.157155i | 0.573601 | − | 0.819135i | \(-0.305546\pi\) |
0.216469 | + | 0.976290i | \(0.430546\pi\) | |||||||
\(198\) | 19.5005 | − | 8.57776i | 1.38584 | − | 0.609595i | ||||
\(199\) | −3.41515 | + | 8.24489i | −0.242093 | + | 0.584465i | −0.997490 | − | 0.0708023i | \(-0.977444\pi\) |
0.755397 | + | 0.655267i | \(0.227444\pi\) | |||||||
\(200\) | −10.6786 | + | 18.4812i | −0.755089 | + | 1.30682i | ||||
\(201\) | −0.244423 | − | 0.590089i | −0.0172403 | − | 0.0416217i | ||||
\(202\) | −15.6961 | + | 16.3926i | −1.10437 | + | 1.15338i | ||||
\(203\) | 1.24867 | + | 1.86877i | 0.0876397 | + | 0.131162i | ||||
\(204\) | −0.426811 | − | 0.582376i | −0.0298828 | − | 0.0407745i | ||||
\(205\) | −26.6369 | + | 5.29842i | −1.86040 | + | 0.370057i | ||||
\(206\) | 15.3041 | + | 21.8618i | 1.06628 | + | 1.52318i | ||||
\(207\) | −2.37470 | − | 2.37470i | −0.165053 | − | 0.165053i | ||||
\(208\) | 2.15608 | − | 3.92576i | 0.149497 | − | 0.272202i | ||||
\(209\) | 6.97982 | − | 6.97982i | 0.482805 | − | 0.482805i | ||||
\(210\) | −1.52250 | − | 0.268637i | −0.105062 | − | 0.0185377i | ||||
\(211\) | −1.91737 | − | 9.63929i | −0.131997 | − | 0.663596i | −0.988956 | − | 0.148210i | \(-0.952649\pi\) |
0.856958 | − | 0.515386i | \(-0.172351\pi\) | |||||||
\(212\) | 9.55689 | − | 15.7412i | 0.656370 | − | 1.08111i | ||||
\(213\) | −0.778690 | + | 0.520304i | −0.0533549 | + | 0.0356506i | ||||
\(214\) | 6.99358 | − | 0.151802i | 0.478071 | − | 0.0103770i | ||||
\(215\) | −22.3035 | + | 9.23840i | −1.52108 | + | 0.630054i | ||||
\(216\) | 1.54303 | + | 0.524378i | 0.104990 | + | 0.0356794i | ||||
\(217\) | 11.5112 | + | 4.76809i | 0.781430 | + | 0.323679i | ||||
\(218\) | −0.124916 | + | 0.321111i | −0.00846035 | + | 0.0217484i | ||||
\(219\) | 0.0299444 | − | 0.150540i | 0.00202345 | − | 0.0101726i | ||||
\(220\) | 24.1124 | − | 26.3020i | 1.62566 | − | 1.77328i | ||||
\(221\) | 2.33503 | − | 3.49461i | 0.157071 | − | 0.235073i | ||||
\(222\) | 0.124845 | − | 0.0276626i | 0.00837907 | − | 0.00185659i | ||||
\(223\) | − | 11.7193i | − | 0.784782i | −0.919798 | − | 0.392391i | \(-0.871648\pi\) | ||
0.919798 | − | 0.392391i | \(-0.128352\pi\) | |||||||
\(224\) | −1.59240 | + | 18.0824i | −0.106397 | + | 1.20818i | ||||
\(225\) | − | 22.5694i | − | 1.50463i | ||||||
\(226\) | −3.01007 | − | 13.5849i | −0.200227 | − | 0.903655i | ||||
\(227\) | 4.43507 | − | 6.63755i | 0.294366 | − | 0.440549i | −0.654578 | − | 0.755994i | \(-0.727154\pi\) |
0.948944 | + | 0.315445i | \(0.102154\pi\) | |||||||
\(228\) | 0.376619 | − | 0.0163574i | 0.0249422 | − | 0.00108329i | ||||
\(229\) | 3.07163 | − | 15.4421i | 0.202979 | − | 1.02045i | −0.736133 | − | 0.676836i | \(-0.763350\pi\) |
0.939113 | − | 0.343609i | \(-0.111650\pi\) | |||||||
\(230\) | −5.24226 | − | 2.03929i | −0.345664 | − | 0.134467i | ||||
\(231\) | 1.43620 | + | 0.594893i | 0.0944949 | + | 0.0391411i | ||||
\(232\) | −1.48899 | − | 1.30671i | −0.0977569 | − | 0.0857898i | ||||
\(233\) | −2.37521 | + | 0.983843i | −0.155605 | + | 0.0644537i | −0.459127 | − | 0.888371i | \(-0.651838\pi\) |
0.303522 | + | 0.952825i | \(0.401838\pi\) | |||||||
\(234\) | 0.102773 | + | 4.73479i | 0.00671846 | + | 0.309523i | ||||
\(235\) | −9.67475 | + | 6.46446i | −0.631111 | + | 0.421695i | ||||
\(236\) | −1.82525 | − | 7.46656i | −0.118814 | − | 0.486032i | ||||
\(237\) | 0.218384 | + | 1.09789i | 0.0141856 | + | 0.0713158i | ||||
\(238\) | −2.95985 | + | 16.7749i | −0.191858 | + | 1.08736i | ||||
\(239\) | −14.4718 | + | 14.4718i | −0.936102 | + | 0.936102i | −0.998078 | − | 0.0619760i | \(-0.980260\pi\) |
0.0619760 | + | 0.998078i | \(0.480260\pi\) | |||||||
\(240\) | 1.35757 | − | 0.118147i | 0.0876308 | − | 0.00762638i | ||||
\(241\) | 13.8159 | + | 13.8159i | 0.889960 | + | 0.889960i | 0.994519 | − | 0.104558i | \(-0.0333429\pi\) |
−0.104558 | + | 0.994519i | \(0.533343\pi\) | |||||||
\(242\) | −16.6482 | + | 11.6544i | −1.07019 | + | 0.749172i | ||||
\(243\) | −2.53648 | + | 0.504537i | −0.162715 | + | 0.0323661i | ||||
\(244\) | 1.02090 | − | 6.62282i | 0.0653562 | − | 0.423982i | ||||
\(245\) | 6.48837 | + | 9.71053i | 0.414526 | + | 0.620383i | ||||
\(246\) | 0.753278 | + | 0.721272i | 0.0480273 | + | 0.0459866i | ||||
\(247\) | 0.839746 | + | 2.02733i | 0.0534317 | + | 0.128996i | ||||
\(248\) | −10.8878 | − | 1.43720i | −0.691376 | − | 0.0912623i | ||||
\(249\) | 0.347066 | − | 0.837892i | 0.0219944 | − | 0.0530992i | ||||
\(250\) | −5.13598 | − | 11.6760i | −0.324828 | − | 0.738456i | ||||
\(251\) | −14.6959 | − | 2.92320i | −0.927599 | − | 0.184511i | −0.291901 | − | 0.956449i | \(-0.594288\pi\) |
−0.635698 | + | 0.771938i | \(0.719288\pi\) | |||||||
\(252\) | −8.10781 | − | 17.3976i | −0.510744 | − | 1.09595i | ||||
\(253\) | 4.70272 | + | 3.14226i | 0.295657 | + | 0.197552i | ||||
\(254\) | −9.25783 | − | 5.89937i | −0.580888 | − | 0.370160i | ||||
\(255\) | 1.27875 | 0.0800785 | ||||||||
\(256\) | −2.76398 | − | 15.7595i | −0.172749 | − | 0.984966i | ||||
\(257\) | 24.4316 | 1.52400 | 0.762001 | − | 0.647576i | \(-0.224217\pi\) | ||||
0.762001 | + | 0.647576i | \(0.224217\pi\) | |||||||
\(258\) | 0.781792 | + | 0.498182i | 0.0486723 | + | 0.0310155i | ||||
\(259\) | −2.50835 | − | 1.67603i | −0.155861 | − | 0.104143i | ||||
\(260\) | 3.35068 | + | 7.18985i | 0.207801 | + | 0.445896i | ||||
\(261\) | 2.05450 | + | 0.408665i | 0.127170 | + | 0.0252957i | ||||
\(262\) | 8.42937 | + | 19.1631i | 0.520768 | + | 1.18390i | ||||
\(263\) | 6.31226 | − | 15.2391i | 0.389231 | − | 0.939686i | −0.600873 | − | 0.799345i | \(-0.705180\pi\) |
0.990103 | − | 0.140341i | \(-0.0448199\pi\) | |||||||
\(264\) | −1.35842 | − | 0.179313i | −0.0836051 | − | 0.0110359i | ||||
\(265\) | 12.4809 | + | 30.1315i | 0.766694 | + | 1.85096i | ||||
\(266\) | −6.42365 | − | 6.15071i | −0.393859 | − | 0.377124i | ||||
\(267\) | −0.694062 | − | 1.03874i | −0.0424759 | − | 0.0635697i | ||||
\(268\) | 2.02344 | − | 13.1266i | 0.123601 | − | 0.801833i | ||||
\(269\) | 6.17863 | − | 1.22901i | 0.376718 | − | 0.0749338i | −0.00309991 | − | 0.999995i | \(-0.500987\pi\) |
0.379818 | + | 0.925061i | \(0.375987\pi\) | |||||||
\(270\) | −2.36448 | + | 1.65523i | −0.143898 | + | 0.100734i | ||||
\(271\) | −22.0018 | − | 22.0018i | −1.33651 | − | 1.33651i | −0.899413 | − | 0.437100i | \(-0.856005\pi\) |
−0.437100 | − | 0.899413i | \(-0.643995\pi\) | |||||||
\(272\) | −1.30175 | − | 14.9577i | −0.0789302 | − | 0.906947i | ||||
\(273\) | −0.244361 | + | 0.244361i | −0.0147894 | + | 0.0147894i | ||||
\(274\) | 3.44422 | − | 19.5201i | 0.208073 | − | 1.17925i | ||||
\(275\) | 7.41542 | + | 37.2798i | 0.447167 | + | 2.24806i | ||||
\(276\) | 0.0512923 | + | 0.209822i | 0.00308744 | + | 0.0126298i | ||||
\(277\) | −16.8544 | + | 11.2618i | −1.01269 | + | 0.676655i | −0.947016 | − | 0.321187i | \(-0.895918\pi\) |
−0.0656692 | + | 0.997841i | \(0.520918\pi\) | |||||||
\(278\) | 0.0414238 | + | 1.90841i | 0.00248443 | + | 0.114459i | ||||
\(279\) | 10.7286 | − | 4.44392i | 0.642302 | − | 0.266050i | ||||
\(280\) | −24.1634 | − | 21.2054i | −1.44404 | − | 1.26726i | ||||
\(281\) | −21.0372 | − | 8.71391i | −1.25498 | − | 0.519828i | −0.346613 | − | 0.938008i | \(-0.612668\pi\) |
−0.908364 | + | 0.418180i | \(0.862668\pi\) | |||||||
\(282\) | 0.416418 | + | 0.161991i | 0.0247974 | + | 0.00964643i | ||||
\(283\) | −5.85317 | + | 29.4259i | −0.347935 | + | 1.74919i | 0.269909 | + | 0.962886i | \(0.413006\pi\) |
−0.617844 | + | 0.786301i | \(0.711994\pi\) | |||||||
\(284\) | −19.4562 | + | 0.845024i | −1.15451 | + | 0.0501430i | ||||
\(285\) | −0.370920 | + | 0.555121i | −0.0219714 | + | 0.0328825i | ||||
\(286\) | −1.72542 | − | 7.78709i | −0.102026 | − | 0.460460i | ||||
\(287\) | − | 24.6042i | − | 1.45234i | ||||||
\(288\) | 10.8674 | + | 12.9663i | 0.640370 | + | 0.764048i | ||||
\(289\) | 2.91070i | 0.171218i | ||||||||
\(290\) | 3.42546 | − | 0.758996i | 0.201150 | − | 0.0445698i | ||||
\(291\) | −0.282935 | + | 0.423442i | −0.0165859 | + | 0.0248226i | ||||
\(292\) | 2.15685 | − | 2.35271i | 0.126220 | − | 0.137682i | ||||
\(293\) | −3.59311 | + | 18.0638i | −0.209912 | + | 1.05530i | 0.721801 | + | 0.692100i | \(0.243315\pi\) |
−0.931713 | + | 0.363196i | \(0.881685\pi\) | |||||||
\(294\) | 0.162590 | − | 0.417958i | 0.00948245 | − | 0.0243758i | ||||
\(295\) | 12.5768 | + | 5.20947i | 0.732248 | + | 0.303307i | ||||
\(296\) | 2.51765 | + | 0.855590i | 0.146336 | + | 0.0497301i | ||||
\(297\) | 2.68125 | − | 1.11061i | 0.155582 | − | 0.0644441i | ||||
\(298\) | 3.00276 | − | 0.0651776i | 0.173945 | − | 0.00377564i | ||||
\(299\) | −1.04544 | + | 0.698538i | −0.0604592 | + | 0.0403975i | ||||
\(300\) | −0.753343 | + | 1.24083i | −0.0434943 | + | 0.0716395i | ||||
\(301\) | −4.26669 | − | 21.4501i | −0.245928 | − | 1.23636i | ||||
\(302\) | 6.03872 | + | 1.06550i | 0.347489 | + | 0.0613127i | ||||
\(303\) | −1.09142 | + | 1.09142i | −0.0627004 | + | 0.0627004i | ||||
\(304\) | 6.87093 | + | 3.77360i | 0.394075 | + | 0.216431i | ||||
\(305\) | 8.39184 | + | 8.39184i | 0.480515 | + | 0.480515i | ||||
\(306\) | 9.10459 | + | 13.0059i | 0.520475 | + | 0.743495i | ||||
\(307\) | 0.624761 | − | 0.124273i | 0.0356570 | − | 0.00709262i | −0.177230 | − | 0.984170i | \(-0.556714\pi\) |
0.212887 | + | 0.977077i | \(0.431714\pi\) | |||||||
\(308\) | 19.1085 | + | 26.0732i | 1.08881 | + | 1.48566i | ||||
\(309\) | 1.00830 | + | 1.50903i | 0.0573604 | + | 0.0858459i | ||||
\(310\) | 13.4516 | − | 14.0485i | 0.763998 | − | 0.797901i | ||||
\(311\) | 3.87831 | + | 9.36307i | 0.219919 | + | 0.530931i | 0.994878 | − | 0.101080i | \(-0.0322298\pi\) |
−0.774959 | + | 0.632011i | \(0.782230\pi\) | |||||||
\(312\) | 0.152392 | − | 0.263742i | 0.00862749 | − | 0.0149314i | ||||
\(313\) | 7.60854 | − | 18.3686i | 0.430060 | − | 1.03826i | −0.549207 | − | 0.835686i | \(-0.685070\pi\) |
0.979268 | − | 0.202571i | \(-0.0649297\pi\) | |||||||
\(314\) | 4.84276 | − | 2.13020i | 0.273293 | − | 0.120214i | ||||
\(315\) | 33.3405 | + | 6.63184i | 1.87852 | + | 0.373662i | ||||
\(316\) | −7.96633 | + | 21.8718i | −0.448141 | + | 1.23038i | ||||
\(317\) | −9.31093 | − | 6.22136i | −0.522954 | − | 0.349427i | 0.265907 | − | 0.963999i | \(-0.414329\pi\) |
−0.788861 | + | 0.614572i | \(0.789329\pi\) | |||||||
\(318\) | 0.673033 | − | 1.05618i | 0.0377418 | − | 0.0592278i | ||||
\(319\) | −3.52786 | −0.197522 | ||||||||
\(320\) | 25.4059 | + | 12.5504i | 1.42023 | + | 0.701590i | ||||
\(321\) | 0.475738 | 0.0265531 | ||||||||
\(322\) | 2.73849 | − | 4.29748i | 0.152610 | − | 0.239489i | ||||
\(323\) | 6.11633 | + | 4.08680i | 0.340322 | + | 0.227396i | ||||
\(324\) | −16.7568 | − | 6.10330i | −0.930932 | − | 0.339072i | ||||
\(325\) | −8.28748 | − | 1.64848i | −0.459707 | − | 0.0914414i | ||||
\(326\) | −31.1547 | + | 13.7041i | −1.72550 | + | 0.759002i | ||||
\(327\) | −0.00896729 | + | 0.0216490i | −0.000495892 | + | 0.00119719i | ||||
\(328\) | 5.60578 | + | 20.9498i | 0.309528 | + | 1.15676i | ||||
\(329\) | −4.03396 | − | 9.73883i | −0.222399 | − | 0.536919i | ||||
\(330\) | 1.67829 | − | 1.75277i | 0.0923870 | − | 0.0964866i | ||||
\(331\) | −2.60514 | − | 3.89887i | −0.143192 | − | 0.214301i | 0.752941 | − | 0.658088i | \(-0.228635\pi\) |
−0.896132 | + | 0.443787i | \(0.853635\pi\) | |||||||
\(332\) | 15.2114 | − | 11.1481i | 0.834833 | − | 0.611832i | ||||
\(333\) | −2.75764 | + | 0.548529i | −0.151118 | + | 0.0300592i | ||||
\(334\) | −13.7258 | − | 19.6072i | −0.751040 | − | 1.07286i | ||||
\(335\) | 16.6328 | + | 16.6328i | 0.908747 | + | 0.908747i | ||||
\(336\) | −0.134959 | + | 1.22712i | −0.00736262 | + | 0.0669451i | ||||
\(337\) | 7.15691 | − | 7.15691i | 0.389862 | − | 0.389862i | −0.484777 | − | 0.874638i | \(-0.661099\pi\) |
0.874638 | + | 0.484777i | \(0.161099\pi\) | |||||||
\(338\) | −16.3590 | − | 2.88646i | −0.889812 | − | 0.157003i | ||||
\(339\) | −0.184615 | − | 0.928121i | −0.0100269 | − | 0.0504086i | ||||
\(340\) | 22.7298 | + | 13.7999i | 1.23270 | + | 0.748404i | ||||
\(341\) | −16.2612 | + | 10.8654i | −0.880592 | + | 0.588393i | ||||
\(342\) | −8.28692 | + | 0.179875i | −0.448105 | + | 0.00972650i | ||||
\(343\) | 10.9777 | − | 4.54711i | 0.592740 | − | 0.245521i | ||||
\(344\) | 8.52014 | + | 17.2921i | 0.459375 | + | 0.932325i | ||||
\(345\) | −0.353427 | − | 0.146394i | −0.0190279 | − | 0.00788160i | ||||
\(346\) | 3.37068 | − | 8.66477i | 0.181209 | − | 0.465821i | ||||
\(347\) | 1.83440 | − | 9.22214i | 0.0984756 | − | 0.495070i | −0.899797 | − | 0.436310i | \(-0.856285\pi\) |
0.998272 | − | 0.0587604i | \(-0.0187148\pi\) | |||||||
\(348\) | −0.0993123 | − | 0.0910447i | −0.00532370 | − | 0.00488051i | ||||
\(349\) | −0.202878 | + | 0.303629i | −0.0108598 | + | 0.0162529i | −0.836860 | − | 0.547417i | \(-0.815611\pi\) |
0.826000 | + | 0.563670i | \(0.190611\pi\) | |||||||
\(350\) | 33.4354 | − | 7.40844i | 1.78720 | − | 0.395998i | ||||
\(351\) | 0.645165i | 0.0344363i | ||||||||
\(352\) | −22.2109 | − | 17.8470i | −1.18384 | − | 0.951246i | ||||
\(353\) | 28.2164i | 1.50181i | 0.660411 | + | 0.750904i | \(0.270382\pi\) | ||||
−0.660411 | + | 0.750904i | \(0.729618\pi\) | |||||||
\(354\) | −0.113085 | − | 0.510368i | −0.00601038 | − | 0.0271257i | ||||
\(355\) | 19.1618 | − | 28.6776i | 1.01700 | − | 1.52205i | ||||
\(356\) | −1.12722 | − | 25.9537i | −0.0597428 | − | 1.37554i | ||||
\(357\) | −0.226006 | + | 1.13621i | −0.0119615 | + | 0.0601345i | ||||
\(358\) | 31.4685 | + | 12.2416i | 1.66316 | + | 0.646987i | ||||
\(359\) | −21.6280 | − | 8.95860i | −1.14148 | − | 0.472817i | −0.269812 | − | 0.962913i | \(-0.586962\pi\) |
−0.871668 | + | 0.490096i | \(0.836962\pi\) | |||||||
\(360\) | −29.8995 | + | 1.94943i | −1.57584 | + | 0.102744i | ||||
\(361\) | 14.0054 | − | 5.80125i | 0.737129 | − | 0.305329i | ||||
\(362\) | 0.275373 | + | 12.6866i | 0.0144733 | + | 0.666791i | ||||
\(363\) | −1.14916 | + | 0.767846i | −0.0603154 | + | 0.0403015i | ||||
\(364\) | −6.98060 | + | 1.70645i | −0.365883 | + | 0.0894424i | ||||
\(365\) | 1.10279 | + | 5.54411i | 0.0577228 | + | 0.290192i | ||||
\(366\) | 0.0791881 | − | 0.448798i | 0.00413923 | − | 0.0234591i | ||||
\(367\) | −7.75795 | + | 7.75795i | −0.404962 | + | 0.404962i | −0.879977 | − | 0.475016i | \(-0.842442\pi\) |
0.475016 | + | 0.879977i | \(0.342442\pi\) | |||||||
\(368\) | −1.35261 | + | 4.28312i | −0.0705098 | + | 0.223273i | ||||
\(369\) | −16.2149 | − | 16.2149i | −0.844116 | − | 0.844116i | ||||
\(370\) | −3.85796 | + | 2.70072i | −0.200566 | + | 0.140403i | ||||
\(371\) | −28.9786 | + | 5.76421i | −1.50450 | + | 0.299263i | ||||
\(372\) | −0.738173 | − | 0.113788i | −0.0382725 | − | 0.00589964i | ||||
\(373\) | −13.4903 | − | 20.1897i | −0.698502 | − | 1.04538i | −0.995885 | − | 0.0906234i | \(-0.971114\pi\) |
0.297384 | − | 0.954758i | \(-0.403886\pi\) | |||||||
\(374\) | −19.3120 | − | 18.4915i | −0.998601 | − | 0.956171i | ||||
\(375\) | −0.331978 | − | 0.801467i | −0.0171433 | − | 0.0413876i | ||||
\(376\) | 5.65369 | + | 7.37325i | 0.291567 | + | 0.380247i | ||||
\(377\) | 0.300123 | − | 0.724561i | 0.0154571 | − | 0.0373168i | ||||
\(378\) | −1.05282 | − | 2.39346i | −0.0541513 | − | 0.123106i | ||||
\(379\) | 17.2347 | + | 3.42819i | 0.885286 | + | 0.176094i | 0.616735 | − | 0.787171i | \(-0.288455\pi\) |
0.268551 | + | 0.963265i | \(0.413455\pi\) | |||||||
\(380\) | −12.5838 | + | 5.86443i | −0.645535 | + | 0.300839i | ||||
\(381\) | −0.620761 | − | 0.414779i | −0.0318025 | − | 0.0212498i | ||||
\(382\) | 19.0605 | + | 12.1459i | 0.975218 | + | 0.621439i | ||||
\(383\) | 16.8809 | 0.862575 | 0.431287 | − | 0.902215i | \(-0.358060\pi\) | ||||
0.431287 | + | 0.902215i | \(0.358060\pi\) | |||||||
\(384\) | −0.164673 | − | 1.07561i | −0.00840341 | − | 0.0548896i | ||||
\(385\) | −57.2502 | −2.91774 | ||||||||
\(386\) | 4.39062 | + | 2.79784i | 0.223477 | + | 0.142406i | ||||
\(387\) | −16.9482 | − | 11.3244i | −0.861526 | − | 0.575653i | ||||
\(388\) | −9.59883 | + | 4.47334i | −0.487307 | + | 0.227099i | ||||
\(389\) | 16.6486 | + | 3.31162i | 0.844119 | + | 0.167906i | 0.598162 | − | 0.801375i | \(-0.295898\pi\) |
0.245957 | + | 0.969281i | \(0.420898\pi\) | |||||||
\(390\) | 0.217212 | + | 0.493804i | 0.0109989 | + | 0.0250048i | ||||
\(391\) | −1.61298 | + | 3.89407i | −0.0815717 | + | 0.196931i | ||||
\(392\) | 7.40052 | − | 5.67459i | 0.373783 | − | 0.286610i | ||||
\(393\) | 0.544856 | + | 1.31540i | 0.0274844 | + | 0.0663531i | ||||
\(394\) | 11.5491 | + | 11.0584i | 0.581835 | + | 0.557114i | ||||
\(395\) | −22.9036 | − | 34.2776i | −1.15240 | − | 1.72469i | ||||
\(396\) | 29.7762 | + | 4.58996i | 1.49631 | + | 0.230654i | ||||
\(397\) | 3.99127 | − | 0.793913i | 0.200316 | − | 0.0398454i | −0.0939123 | − | 0.995580i | \(-0.529937\pi\) |
0.294228 | + | 0.955735i | \(0.404937\pi\) | |||||||
\(398\) | −10.3391 | + | 7.23778i | −0.518254 | + | 0.362797i | ||||
\(399\) | −0.427686 | − | 0.427686i | −0.0214111 | − | 0.0214111i | ||||
\(400\) | −26.7814 | + | 13.9260i | −1.33907 | + | 0.696298i | ||||
\(401\) | 17.0281 | − | 17.0281i | 0.850344 | − | 0.850344i | −0.139832 | − | 0.990175i | \(-0.544656\pi\) |
0.990175 | + | 0.139832i | \(0.0446561\pi\) | |||||||
\(402\) | 0.156953 | − | 0.889528i | 0.00782808 | − | 0.0443656i | ||||
\(403\) | −0.848184 | − | 4.26411i | −0.0422510 | − | 0.212410i | ||||
\(404\) | −31.1782 | + | 7.62172i | −1.55118 | + | 0.379195i | ||||
\(405\) | 26.2613 | − | 17.5473i | 1.30494 | − | 0.871930i | ||||
\(406\) | 0.0689762 | + | 3.17777i | 0.00342323 | + | 0.157710i | ||||
\(407\) | 4.37480 | − | 1.81210i | 0.216851 | − | 0.0898225i | ||||
\(408\) | −0.0664346 | − | 1.01894i | −0.00328900 | − | 0.0504452i | ||||
\(409\) | −26.8028 | − | 11.1021i | −1.32531 | − | 0.548963i | −0.395999 | − | 0.918251i | \(-0.629602\pi\) |
−0.929315 | + | 0.369288i | \(0.879602\pi\) | |||||||
\(410\) | −35.7953 | − | 13.9247i | −1.76780 | − | 0.687693i | ||||
\(411\) | 0.262992 | − | 1.32215i | 0.0129724 | − | 0.0652168i | ||||
\(412\) | 1.63758 | + | 37.7044i | 0.0806780 | + | 1.85756i | ||||
\(413\) | −6.85159 | + | 10.2541i | −0.337145 | + | 0.504573i | ||||
\(414\) | −1.02743 | − | 4.63693i | −0.0504953 | − | 0.227893i | ||||
\(415\) | 33.4004i | 1.63956i | ||||||||
\(416\) | 5.55499 | − | 3.04345i | 0.272356 | − | 0.149217i | ||||
\(417\) | 0.129820i | 0.00635731i | ||||||||
\(418\) | 13.6291 | − | 3.01987i | 0.666621 | − | 0.147706i | ||||
\(419\) | 5.32427 | − | 7.96834i | 0.260108 | − | 0.389279i | −0.678313 | − | 0.734773i | \(-0.737289\pi\) |
0.938421 | + | 0.345494i | \(0.112289\pi\) | |||||||
\(420\) | −1.61164 | − | 1.47748i | −0.0786402 | − | 0.0720935i | ||||
\(421\) | 6.67598 | − | 33.5624i | 0.325367 | − | 1.63573i | −0.378644 | − | 0.925542i | \(-0.623609\pi\) |
0.704011 | − | 0.710189i | \(-0.251391\pi\) | |||||||
\(422\) | 5.03903 | − | 12.9535i | 0.245296 | − | 0.630565i | ||||
\(423\) | −9.07672 | − | 3.75970i | −0.441325 | − | 0.182803i | ||||
\(424\) | 23.3612 | − | 11.5105i | 1.13452 | − | 0.559000i | ||||
\(425\) | −26.1698 | + | 10.8399i | −1.26942 | + | 0.525812i | ||||
\(426\) | −1.32413 | + | 0.0287414i | −0.0641543 | + | 0.00139252i | ||||
\(427\) | −8.93957 | + | 5.97323i | −0.432616 | + | 0.289065i | ||||
\(428\) | 8.45626 | + | 5.13402i | 0.408749 | + | 0.248162i | ||||
\(429\) | −0.105824 | − | 0.532014i | −0.00510923 | − | 0.0256859i | ||||
\(430\) | −33.6213 | − | 5.93231i | −1.62136 | − | 0.286081i | ||||
\(431\) | 15.6106 | − | 15.6106i | 0.751934 | − | 0.751934i | −0.222906 | − | 0.974840i | \(-0.571554\pi\) |
0.974840 | + | 0.222906i | \(0.0715543\pi\) | |||||||
\(432\) | 1.44177 | + | 1.79809i | 0.0693673 | + | 0.0865107i | ||||
\(433\) | −2.26932 | − | 2.26932i | −0.109057 | − | 0.109057i | 0.650473 | − | 0.759529i | \(-0.274571\pi\) |
−0.759529 | + | 0.650473i | \(0.774571\pi\) | |||||||
\(434\) | 10.1051 | + | 14.4351i | 0.485059 | + | 0.692905i | ||||
\(435\) | 0.234027 | − | 0.0465509i | 0.0112208 | − | 0.00223195i | ||||
\(436\) | −0.393023 | + | 0.288038i | −0.0188224 | + | 0.0137945i | ||||
\(437\) | −1.22259 | − | 1.82974i | −0.0584846 | − | 0.0875284i | ||||
\(438\) | 0.150123 | − | 0.156784i | 0.00717314 | − | 0.00749145i | ||||
\(439\) | 9.28224 | + | 22.4093i | 0.443017 | + | 1.06954i | 0.974885 | + | 0.222710i | \(0.0714905\pi\) |
−0.531867 | + | 0.846828i | \(0.678510\pi\) | |||||||
\(440\) | 48.7470 | − | 13.0438i | 2.32392 | − | 0.621840i | ||||
\(441\) | −3.77360 | + | 9.11028i | −0.179695 | + | 0.433823i | ||||
\(442\) | 5.44075 | − | 2.39324i | 0.258790 | − | 0.113835i | ||||
\(443\) | 27.8229 | + | 5.53431i | 1.32190 | + | 0.262943i | 0.805089 | − | 0.593154i | \(-0.202117\pi\) |
0.516815 | + | 0.856097i | \(0.327117\pi\) | |||||||
\(444\) | 0.169920 | + | 0.0618898i | 0.00806405 | + | 0.00293716i | ||||
\(445\) | 38.2546 | + | 25.5609i | 1.81344 | + | 1.21170i | ||||
\(446\) | 8.90658 | − | 13.9770i | 0.421739 | − | 0.661830i | ||||
\(447\) | 0.204263 | 0.00966131 | ||||||||
\(448\) | −15.6417 | + | 20.3557i | −0.738999 | + | 0.961717i | ||||
\(449\) | −30.2350 | −1.42688 | −0.713439 | − | 0.700717i | \(-0.752864\pi\) | ||||
−0.713439 | + | 0.700717i | \(0.752864\pi\) | |||||||
\(450\) | 17.1526 | − | 26.9174i | 0.808581 | − | 1.26890i | ||||
\(451\) | 32.1112 | + | 21.4560i | 1.51206 | + | 1.01032i | ||||
\(452\) | 6.73447 | − | 18.4897i | 0.316763 | − | 0.869681i | ||||
\(453\) | 0.409018 | + | 0.0813588i | 0.0192174 | + | 0.00382257i | ||||
\(454\) | 10.3340 | − | 4.54565i | 0.484997 | − | 0.213338i | ||||
\(455\) | 4.87041 | − | 11.7582i | 0.228328 | − | 0.551234i | ||||
\(456\) | 0.461606 | + | 0.266719i | 0.0216167 | + | 0.0124903i | ||||
\(457\) | 10.5302 | + | 25.4220i | 0.492580 | + | 1.18919i | 0.953403 | + | 0.301701i | \(0.0975544\pi\) |
−0.460823 | + | 0.887492i | \(0.652446\pi\) | |||||||
\(458\) | 15.3993 | − | 16.0826i | 0.719562 | − | 0.751492i | ||||
\(459\) | 1.20156 | + | 1.79826i | 0.0560841 | + | 0.0839358i | ||||
\(460\) | −4.70233 | − | 6.41624i | −0.219247 | − | 0.299159i | ||||
\(461\) | −0.814259 | + | 0.161966i | −0.0379238 | + | 0.00754352i | −0.214016 | − | 0.976830i | \(-0.568654\pi\) |
0.176092 | + | 0.984374i | \(0.443654\pi\) | |||||||
\(462\) | 1.26077 | + | 1.80100i | 0.0586561 | + | 0.0837900i | ||||
\(463\) | 21.5717 | + | 21.5717i | 1.00252 | + | 1.00252i | 0.999997 | + | 0.00252293i | \(0.000803073\pi\) |
0.00252293 | + | 0.999997i | \(0.499197\pi\) | |||||||
\(464\) | −0.782751 | − | 2.69007i | −0.0363383 | − | 0.124883i | ||||
\(465\) | 0.935346 | − | 0.935346i | 0.0433756 | − | 0.0433756i | ||||
\(466\) | −3.58050 | − | 0.631760i | −0.165864 | − | 0.0292657i | ||||
\(467\) | 1.39757 | + | 7.02605i | 0.0646717 | + | 0.325127i | 0.999555 | − | 0.0298285i | \(-0.00949612\pi\) |
−0.934883 | + | 0.354955i | \(0.884496\pi\) | |||||||
\(468\) | −3.47583 | + | 5.72505i | −0.160670 | + | 0.264641i | ||||
\(469\) | −17.7184 | + | 11.8391i | −0.818161 | + | 0.546678i | ||||
\(470\) | −16.4515 | + | 0.357094i | −0.758852 | + | 0.0164715i | ||||
\(471\) | 0.332417 | − | 0.137692i | 0.0153170 | − | 0.00634450i | ||||
\(472\) | 3.49765 | − | 10.2922i | 0.160992 | − | 0.473735i | ||||
\(473\) | 31.7155 | + | 13.1370i | 1.45828 | + | 0.604040i | ||||
\(474\) | −0.573934 | + | 1.47537i | −0.0263617 | + | 0.0677660i | ||||
\(475\) | 2.88520 | − | 14.5049i | 0.132382 | − | 0.665530i | ||||
\(476\) | −16.2789 | + | 17.7571i | −0.746141 | + | 0.813897i | ||||
\(477\) | −15.2991 | + | 22.8967i | −0.700496 | + | 1.04837i | ||||
\(478\) | −28.2582 | + | 6.26131i | −1.29250 | + | 0.286386i | ||||
\(479\) | − | 2.21732i | − | 0.101312i | −0.998716 | − | 0.0506560i | \(-0.983869\pi\) | ||
0.998716 | − | 0.0506560i | \(-0.0161312\pi\) | |||||||
\(480\) | 1.70890 | + | 0.890836i | 0.0780001 | + | 0.0406609i | ||||
\(481\) | 1.05267i | 0.0479975i | ||||||||
\(482\) | 5.97754 | + | 26.9775i | 0.272269 | + | 1.22879i | ||||
\(483\) | 0.192540 | − | 0.288157i | 0.00876089 | − | 0.0131116i | ||||
\(484\) | −28.7127 | + | 1.24706i | −1.30512 | + | 0.0566844i | ||||
\(485\) | 3.65900 | − | 18.3950i | 0.166146 | − | 0.835274i | ||||
\(486\) | −3.40857 | − | 1.32597i | −0.154616 | − | 0.0601472i | ||||
\(487\) | −9.10197 | − | 3.77016i | −0.412450 | − | 0.170842i | 0.166803 | − | 0.985990i | \(-0.446656\pi\) |
−0.579253 | + | 0.815148i | \(0.696656\pi\) | |||||||
\(488\) | 6.25086 | − | 7.12282i | 0.282963 | − | 0.322435i | ||||
\(489\) | −2.13852 | + | 0.885805i | −0.0967074 | + | 0.0400575i | ||||
\(490\) | 0.358415 | + | 16.5124i | 0.0161915 | + | 0.745952i | ||||
\(491\) | 9.57984 | − | 6.40104i | 0.432332 | − | 0.288875i | −0.320300 | − | 0.947316i | \(-0.603784\pi\) |
0.752632 | + | 0.658441i | \(0.228784\pi\) | |||||||
\(492\) | 0.350235 | + | 1.43271i | 0.0157898 | + | 0.0645915i | ||||
\(493\) | −0.512899 | − | 2.57852i | −0.0230998 | − | 0.116131i | ||||
\(494\) | −0.539231 | + | 3.05609i | −0.0242611 | + | 0.137500i | ||||
\(495\) | −37.7298 | + | 37.7298i | −1.69583 | + | 1.69583i | ||||
\(496\) | −11.8931 | − | 9.98872i | −0.534014 | − | 0.448507i | ||||
\(497\) | 22.0943 | + | 22.0943i | 0.991064 | + | 0.991064i | ||||
\(498\) | 1.05072 | − | 0.735543i | 0.0470839 | − | 0.0329605i | ||||
\(499\) | −19.6134 | + | 3.90135i | −0.878017 | + | 0.174649i | −0.613464 | − | 0.789723i | \(-0.710224\pi\) |
−0.264553 | + | 0.964371i | \(0.585224\pi\) | |||||||
\(500\) | 2.74826 | − | 17.8287i | 0.122906 | − | 0.797323i | ||||
\(501\) | −0.904317 | − | 1.35341i | −0.0404019 | − | 0.0604658i | ||||
\(502\) | −15.3055 | − | 14.6552i | −0.683117 | − | 0.654091i | ||||
\(503\) | −7.62487 | − | 18.4081i | −0.339976 | − | 0.820775i | −0.997717 | − | 0.0675306i | \(-0.978488\pi\) |
0.657741 | − | 0.753244i | \(-0.271512\pi\) | |||||||
\(504\) | 3.55230 | − | 26.9111i | 0.158232 | − | 1.19872i | ||||
\(505\) | 21.7533 | − | 52.5170i | 0.968008 | − | 2.33698i | ||||
\(506\) | 3.22060 | + | 7.32164i | 0.143173 | + | 0.325487i | ||||
\(507\) | −1.10804 | − | 0.220402i | −0.0492096 | − | 0.00978840i | ||||
\(508\) | −6.55786 | − | 14.0718i | −0.290958 | − | 0.624334i | ||||
\(509\) | 30.1072 | + | 20.1170i | 1.33448 | + | 0.891671i | 0.998735 | − | 0.0502826i | \(-0.0160122\pi\) |
0.335744 | + | 0.941953i | \(0.391012\pi\) | |||||||
\(510\) | 1.52510 | + | 0.971841i | 0.0675326 | + | 0.0430338i | ||||
\(511\) | −5.12102 | −0.226540 | ||||||||
\(512\) | 8.68061 | − | 20.8961i | 0.383633 | − | 0.923486i | ||||
\(513\) | −1.12918 | −0.0498544 | ||||||||
\(514\) | 29.1383 | + | 18.5678i | 1.28524 | + | 0.818992i | ||||
\(515\) | −55.5747 | − | 37.1338i | −2.44891 | − | 1.63631i | ||||
\(516\) | 0.553789 | + | 1.18831i | 0.0243792 | + | 0.0523125i | ||||
\(517\) | 16.2281 | + | 3.22796i | 0.713710 | + | 0.141966i | ||||
\(518\) | −1.71781 | − | 3.90524i | −0.0754764 | − | 0.171586i | ||||
\(519\) | 0.241971 | − | 0.584169i | 0.0106213 | − | 0.0256422i | ||||
\(520\) | −1.46804 | + | 11.1215i | −0.0643780 | + | 0.487708i | ||||
\(521\) | 1.49640 | + | 3.61262i | 0.0655583 | + | 0.158272i | 0.953263 | − | 0.302141i | \(-0.0977014\pi\) |
−0.887705 | + | 0.460413i | \(0.847701\pi\) | |||||||
\(522\) | 2.13971 | + | 2.04880i | 0.0936527 | + | 0.0896734i | ||||
\(523\) | 17.6817 | + | 26.4626i | 0.773168 | + | 1.15713i | 0.983749 | + | 0.179551i | \(0.0574645\pi\) |
−0.210581 | + | 0.977576i | \(0.567535\pi\) | |||||||
\(524\) | −4.51056 | + | 29.2612i | −0.197045 | + | 1.27828i | ||||
\(525\) | 2.28430 | − | 0.454376i | 0.0996952 | − | 0.0198306i | ||||
\(526\) | 19.1099 | − | 13.3777i | 0.833233 | − | 0.583294i | ||||
\(527\) | −10.3057 | − | 10.3057i | −0.448922 | − | 0.448922i | ||||
\(528\) | −1.48384 | − | 1.24625i | −0.0645760 | − | 0.0542360i | ||||
\(529\) | −15.3719 | + | 15.3719i | −0.668341 | + | 0.668341i | ||||
\(530\) | −8.01441 | + | 45.4217i | −0.348124 | + | 1.97299i | ||||
\(531\) | 2.24238 | + | 11.2732i | 0.0973112 | + | 0.489216i | ||||
\(532\) | −2.98666 | − | 12.2176i | −0.129488 | − | 0.529699i | ||||
\(533\) | −7.13847 | + | 4.76977i | −0.309201 | + | 0.206602i | ||||
\(534\) | −0.0383397 | − | 1.76633i | −0.00165912 | − | 0.0764366i | ||||
\(535\) | −16.1868 | + | 6.70481i | −0.699818 | + | 0.289874i | ||||
\(536\) | 12.3894 | − | 14.1176i | 0.535138 | − | 0.609787i | ||||
\(537\) | 2.12157 | + | 0.878783i | 0.0915525 | + | 0.0379223i | ||||
\(538\) | 8.30297 | + | 3.22994i | 0.357967 | + | 0.139253i | ||||
\(539\) | 3.23990 | − | 16.2881i | 0.139552 | − | 0.701577i | ||||
\(540\) | −4.07796 | + | 0.177115i | −0.175487 | + | 0.00762180i | ||||
\(541\) | 8.23111 | − | 12.3187i | 0.353883 | − | 0.529623i | −0.611231 | − | 0.791452i | \(-0.709326\pi\) |
0.965114 | + | 0.261829i | \(0.0843256\pi\) | |||||||
\(542\) | −9.51921 | − | 42.9616i | −0.408885 | − | 1.84536i | ||||
\(543\) | 0.863004i | 0.0370350i | ||||||||
\(544\) | 9.81525 | − | 18.8287i | 0.420825 | − | 0.807272i | ||||
\(545\) | − | 0.862979i | − | 0.0369660i | ||||||
\(546\) | −0.477150 | + | 0.105724i | −0.0204201 | + | 0.00452459i | ||||
\(547\) | −4.06786 | + | 6.08798i | −0.173929 | + | 0.260303i | −0.908185 | − | 0.418570i | \(-0.862531\pi\) |
0.734255 | + | 0.678873i | \(0.237531\pi\) | |||||||
\(548\) | 18.9429 | − | 20.6631i | 0.809200 | − | 0.882683i | ||||
\(549\) | −1.95492 | + | 9.82802i | −0.0834338 | + | 0.419450i | ||||
\(550\) | −19.4884 | + | 50.0974i | −0.830988 | + | 2.13616i | ||||
\(551\) | 1.26814 | + | 0.525281i | 0.0540246 | + | 0.0223777i | ||||
\(552\) | −0.0982894 | + | 0.289226i | −0.00418347 | + | 0.0123103i | ||||
\(553\) | 34.5047 | − | 14.2923i | 1.46729 | − | 0.607771i | ||||
\(554\) | −28.6603 | + | 0.622096i | −1.21766 | + | 0.0264303i | ||||
\(555\) | −0.266300 | + | 0.177936i | −0.0113038 | + | 0.00755296i | ||||
\(556\) | −1.40098 | + | 2.30755i | −0.0594146 | + | 0.0978619i | ||||
\(557\) | −1.69218 | − | 8.50718i | −0.0717001 | − | 0.360461i | 0.928233 | − | 0.371999i | \(-0.121327\pi\) |
−0.999933 | + | 0.0115376i | \(0.996327\pi\) | |||||||
\(558\) | 16.1728 | + | 2.85360i | 0.684647 | + | 0.120802i | ||||
\(559\) | −5.39623 | + | 5.39623i | −0.228236 | + | 0.228236i | ||||
\(560\) | −12.7025 | − | 43.6545i | −0.536779 | − | 1.84474i | ||||
\(561\) | −1.28579 | − | 1.28579i | −0.0542861 | − | 0.0542861i | ||||
\(562\) | −18.4675 | − | 26.3808i | −0.779006 | − | 1.11281i | ||||
\(563\) | −4.00239 | + | 0.796125i | −0.168681 | + | 0.0335527i | −0.278708 | − | 0.960376i | \(-0.589906\pi\) |
0.110027 | + | 0.993929i | \(0.464906\pi\) | |||||||
\(564\) | 0.373529 | + | 0.509673i | 0.0157284 | + | 0.0214611i | ||||
\(565\) | 19.3619 | + | 28.9771i | 0.814561 | + | 1.21908i | ||||
\(566\) | −29.3442 | + | 30.6464i | −1.23343 | + | 1.28816i | ||||
\(567\) | 10.9499 | + | 26.4353i | 0.459851 | + | 1.11018i | ||||
\(568\) | −23.8466 | − | 13.7787i | −1.00058 | − | 0.578143i | ||||
\(569\) | −0.0703648 | + | 0.169876i | −0.00294984 | + | 0.00712155i | −0.925348 | − | 0.379120i | \(-0.876227\pi\) |
0.922398 | + | 0.386241i | \(0.126227\pi\) | |||||||
\(570\) | −0.864265 | + | 0.380168i | −0.0362001 | + | 0.0159235i | ||||
\(571\) | −25.5865 | − | 5.08948i | −1.07076 | − | 0.212988i | −0.371921 | − | 0.928264i | \(-0.621301\pi\) |
−0.698842 | + | 0.715276i | \(0.746301\pi\) | |||||||
\(572\) | 3.86030 | − | 10.5986i | 0.161407 | − | 0.443148i | ||||
\(573\) | 1.27805 | + | 0.853967i | 0.0533914 | + | 0.0356750i | ||||
\(574\) | 18.6990 | − | 29.3441i | 0.780480 | − | 1.22480i | ||||
\(575\) | 8.47391 | 0.353387 | ||||||||
\(576\) | 3.10672 | + | 23.7234i | 0.129447 | + | 0.988477i | ||||
\(577\) | 3.89521 | 0.162160 | 0.0810800 | − | 0.996708i | \(-0.474163\pi\) | ||||
0.0810800 | + | 0.996708i | \(0.474163\pi\) | |||||||
\(578\) | −2.21211 | + | 3.47144i | −0.0920116 | + | 0.144393i | ||||
\(579\) | 0.294402 | + | 0.196713i | 0.0122349 | + | 0.00817512i | ||||
\(580\) | 4.66220 | + | 1.69811i | 0.193587 | + | 0.0705101i | ||||
\(581\) | −29.6772 | − | 5.90317i | −1.23122 | − | 0.244905i | ||||
\(582\) | −0.659255 | + | 0.289989i | −0.0273270 | + | 0.0120204i | ||||
\(583\) | 17.7478 | − | 42.8470i | 0.735039 | − | 1.77454i | ||||
\(584\) | 4.36040 | − | 1.16677i | 0.180435 | − | 0.0482811i | ||||
\(585\) | −4.53929 | − | 10.9588i | −0.187676 | − | 0.453091i | ||||
\(586\) | −18.0136 | + | 18.8130i | −0.744137 | + | 0.777158i | ||||
\(587\) | −5.18453 | − | 7.75920i | −0.213989 | − | 0.320257i | 0.708910 | − | 0.705298i | \(-0.249187\pi\) |
−0.922899 | + | 0.385042i | \(0.874187\pi\) | |||||||
\(588\) | 0.511558 | − | 0.374910i | 0.0210963 | − | 0.0154610i | ||||
\(589\) | 7.46312 | − | 1.48451i | 0.307512 | − | 0.0611680i | ||||
\(590\) | 11.0405 | + | 15.7713i | 0.454531 | + | 0.649295i | ||||
\(591\) | 0.768937 | + | 0.768937i | 0.0316299 | + | 0.0316299i | ||||
\(592\) | 2.35243 | + | 2.93382i | 0.0966844 | + | 0.120579i | ||||
\(593\) | −32.7658 | + | 32.7658i | −1.34553 | + | 1.34553i | −0.455082 | + | 0.890449i | \(0.650390\pi\) |
−0.890449 | + | 0.455082i | \(0.849610\pi\) | |||||||
\(594\) | 4.04184 | + | 0.713162i | 0.165839 | + | 0.0292614i | ||||
\(595\) | −8.32336 | − | 41.8443i | −0.341224 | − | 1.71545i | ||||
\(596\) | 3.63078 | + | 2.20434i | 0.148722 | + | 0.0902935i | ||||
\(597\) | −0.713670 | + | 0.476859i | −0.0292086 | + | 0.0195165i | ||||
\(598\) | −1.77772 | + | 0.0385870i | −0.0726965 | + | 0.00157794i | ||||
\(599\) | 9.21102 | − | 3.81533i | 0.376352 | − | 0.155890i | −0.186485 | − | 0.982458i | \(-0.559710\pi\) |
0.562837 | + | 0.826568i | \(0.309710\pi\) | |||||||
\(600\) | −1.84150 | + | 0.907342i | −0.0751788 | + | 0.0370421i | ||||
\(601\) | −30.1614 | − | 12.4933i | −1.23031 | − | 0.509611i | −0.329637 | − | 0.944108i | \(-0.606926\pi\) |
−0.900673 | + | 0.434497i | \(0.856926\pi\) | |||||||
\(602\) | 11.2133 | − | 28.8251i | 0.457018 | − | 1.17482i | ||||
\(603\) | −3.87469 | + | 19.4794i | −0.157789 | + | 0.793261i | ||||
\(604\) | 6.39230 | + | 5.86015i | 0.260099 | + | 0.238446i | ||||
\(605\) | 28.2783 | − | 42.3214i | 1.14967 | − | 1.72061i | ||||
\(606\) | −2.13115 | + | 0.472209i | −0.0865720 | + | 0.0191822i | ||||
\(607\) | 5.63753i | 0.228820i | 0.993434 | + | 0.114410i | \(0.0364978\pi\) | ||||
−0.993434 | + | 0.114410i | \(0.963502\pi\) | |||||||
\(608\) | 5.32670 | + | 9.72244i | 0.216026 | + | 0.394297i | ||||
\(609\) | 0.216168i | 0.00875956i | ||||||||
\(610\) | 3.63078 | + | 16.3862i | 0.147006 | + | 0.663460i | ||||
\(611\) | −2.04353 | + | 3.05836i | −0.0826723 | + | 0.123728i | ||||
\(612\) | 0.974220 | + | 22.4308i | 0.0393805 | + | 0.906713i | ||||
\(613\) | 7.19644 | − | 36.1790i | 0.290662 | − | 1.46125i | −0.508981 | − | 0.860778i | \(-0.669978\pi\) |
0.799642 | − | 0.600476i | \(-0.205022\pi\) | |||||||
\(614\) | 0.839567 | + | 0.326600i | 0.0338822 | + | 0.0131805i | ||||
\(615\) | −2.41328 | − | 0.999611i | −0.0973127 | − | 0.0403082i | ||||
\(616\) | 2.97431 | + | 45.6185i | 0.119838 | + | 1.83802i | ||||
\(617\) | −13.8368 | + | 5.73141i | −0.557050 | + | 0.230738i | −0.643404 | − | 0.765527i | \(-0.722478\pi\) |
0.0863538 | + | 0.996265i | \(0.472478\pi\) | |||||||
\(618\) | 0.0556983 | + | 2.56605i | 0.00224051 | + | 0.103222i | ||||
\(619\) | 21.0023 | − | 14.0333i | 0.844152 | − | 0.564044i | −0.0565907 | − | 0.998397i | \(-0.518023\pi\) |
0.900743 | + | 0.434353i | \(0.143023\pi\) | |||||||
\(620\) | 26.7198 | − | 6.53182i | 1.07309 | − | 0.262324i | ||||
\(621\) | −0.126224 | − | 0.634570i | −0.00506519 | − | 0.0254644i | ||||
\(622\) | −2.49040 | + | 14.1143i | −0.0998560 | + | 0.565934i | ||||
\(623\) | −29.4728 | + | 29.4728i | −1.18080 | + | 1.18080i | ||||
\(624\) | 0.382192 | − | 0.198735i | 0.0152999 | − | 0.00795576i | ||||
\(625\) | −4.08970 | − | 4.08970i | −0.163588 | − | 0.163588i | ||||
\(626\) | 23.0344 | − | 16.1249i | 0.920638 | − | 0.644481i | ||||
\(627\) | 0.931139 | − | 0.185215i | 0.0371861 | − | 0.00739678i | ||||
\(628\) | 7.39465 | + | 1.13987i | 0.295079 | + | 0.0454859i | ||||
\(629\) | 1.96050 | + | 2.93410i | 0.0781703 | + | 0.116990i | ||||
\(630\) | 34.7234 | + | 33.2480i | 1.38341 | + | 1.32463i | ||||
\(631\) | −5.59874 | − | 13.5166i | −0.222882 | − | 0.538086i | 0.772397 | − | 0.635140i | \(-0.219058\pi\) |
−0.995279 | + | 0.0970548i | \(0.969058\pi\) | |||||||
\(632\) | −26.1234 | + | 20.0310i | −1.03913 | + | 0.796791i | ||||
\(633\) | 0.361736 | − | 0.873308i | 0.0143777 | − | 0.0347109i | ||||
\(634\) | −6.37648 | − | 14.4961i | −0.253242 | − | 0.575715i | ||||
\(635\) | 26.9669 | + | 5.36404i | 1.07015 | + | 0.212866i | ||||
\(636\) | 1.60538 | − | 0.748157i | 0.0636576 | − | 0.0296663i | ||||
\(637\) | 3.06967 | + | 2.05108i | 0.121625 | + | 0.0812669i | ||||
\(638\) | −4.20750 | − | 2.68115i | −0.166576 | − | 0.106148i | ||||
\(639\) | 29.1217 | 1.15204 | ||||||||
\(640\) | 20.7620 | + | 34.2765i | 0.820691 | + | 1.35490i | ||||
\(641\) | 28.7316 | 1.13483 | 0.567414 | − | 0.823432i | \(-0.307944\pi\) | ||||
0.567414 | + | 0.823432i | \(0.307944\pi\) | |||||||
\(642\) | 0.567389 | + | 0.361558i | 0.0223931 | + | 0.0142695i | ||||
\(643\) | −29.2315 | − | 19.5318i | −1.15278 | − | 0.770261i | −0.175973 | − | 0.984395i | \(-0.556307\pi\) |
−0.976804 | + | 0.214134i | \(0.931307\pi\) | |||||||
\(644\) | 6.53211 | − | 3.04416i | 0.257401 | − | 0.119957i | ||||
\(645\) | −2.27726 | − | 0.452975i | −0.0896670 | − | 0.0178359i | ||||
\(646\) | 4.18870 | + | 9.52249i | 0.164802 | + | 0.374657i | ||||
\(647\) | −7.41448 | + | 17.9001i | −0.291493 | + | 0.703727i | −0.999998 | − | 0.00197916i | \(-0.999370\pi\) |
0.708505 | + | 0.705706i | \(0.249370\pi\) | |||||||
\(648\) | −15.3465 | − | 20.0141i | −0.602867 | − | 0.786229i | ||||
\(649\) | −7.40787 | − | 17.8842i | −0.290784 | − | 0.702015i | ||||
\(650\) | −8.63122 | − | 8.26449i | −0.338544 | − | 0.324160i | ||||
\(651\) | 0.665771 | + | 0.996396i | 0.0260936 | + | 0.0390518i | ||||
\(652\) | −47.5716 | − | 7.33309i | −1.86305 | − | 0.287186i | ||||
\(653\) | −20.9556 | + | 4.16833i | −0.820057 | + | 0.163119i | −0.587252 | − | 0.809404i | \(-0.699790\pi\) |
−0.232805 | + | 0.972523i | \(0.574790\pi\) | |||||||
\(654\) | −0.0271479 | + | 0.0190045i | −0.00106157 | + | 0.000743136i | ||||
\(655\) | −37.0771 | − | 37.0771i | −1.44872 | − | 1.44872i | ||||
\(656\) | −9.23593 | + | 29.2461i | −0.360603 | + | 1.14187i | ||||
\(657\) | −3.37492 | + | 3.37492i | −0.131668 | + | 0.131668i | ||||
\(658\) | 2.59035 | − | 14.6808i | 0.100982 | − | 0.572317i | ||||
\(659\) | 4.81340 | + | 24.1986i | 0.187503 | + | 0.942643i | 0.953866 | + | 0.300234i | \(0.0970648\pi\) |
−0.766362 | + | 0.642409i | \(0.777935\pi\) | |||||||
\(660\) | 3.33370 | − | 0.814945i | 0.129764 | − | 0.0317217i | ||||
\(661\) | −13.2970 | + | 8.88474i | −0.517192 | + | 0.345576i | −0.786613 | − | 0.617446i | \(-0.788167\pi\) |
0.269422 | + | 0.963022i | \(0.413167\pi\) | |||||||
\(662\) | −0.143907 | − | 6.62988i | −0.00559311 | − | 0.257677i | ||||
\(663\) | 0.373465 | − | 0.154694i | 0.0145042 | − | 0.00600782i | ||||
\(664\) | 26.6143 | − | 1.73524i | 1.03284 | − | 0.0673404i | ||||
\(665\) | 20.5794 | + | 8.52428i | 0.798036 | + | 0.330557i | ||||
\(666\) | −3.70577 | − | 1.44158i | −0.143596 | − | 0.0558602i | ||||
\(667\) | −0.153437 | + | 0.771381i | −0.00594111 | + | 0.0298680i | ||||
\(668\) | −1.46870 | − | 33.8159i | −0.0568257 | − | 1.30838i | ||||
\(669\) | 0.626213 | − | 0.937193i | 0.0242108 | − | 0.0362340i | ||||
\(670\) | 7.19629 | + | 32.4779i | 0.278017 | + | 1.25473i | ||||
\(671\) | − | 16.8761i | − | 0.651494i | ||||||
\(672\) | −1.09356 | + | 1.36096i | −0.0421852 | + | 0.0525002i | ||||
\(673\) | − | 8.00824i | − | 0.308695i | −0.988017 | − | 0.154348i | \(-0.950672\pi\) | ||
0.988017 | − | 0.154348i | \(-0.0493275\pi\) | |||||||
\(674\) | 13.9749 | − | 3.09648i | 0.538292 | − | 0.119272i | ||||
\(675\) | 2.41569 | − | 3.61534i | 0.0929801 | − | 0.139155i | ||||
\(676\) | −17.3168 | − | 15.8752i | −0.666032 | − | 0.610586i | ||||
\(677\) | −3.48992 | + | 17.5450i | −0.134129 | + | 0.674310i | 0.853949 | + | 0.520356i | \(0.174201\pi\) |
−0.988078 | + | 0.153954i | \(0.950799\pi\) | |||||||
\(678\) | 0.485184 | − | 1.24723i | 0.0186334 | − | 0.0478995i | ||||
\(679\) | 15.6978 | + | 6.50226i | 0.602428 | + | 0.249534i | ||||
\(680\) | 16.6209 | + | 33.7329i | 0.637381 | + | 1.29360i | ||||
\(681\) | 0.709346 | − | 0.293821i | 0.0271822 | − | 0.0112592i | ||||
\(682\) | −27.6515 | + | 0.600199i | −1.05883 | + | 0.0229828i | ||||
\(683\) | −19.1391 | + | 12.7883i | −0.732336 | + | 0.489331i | −0.864964 | − | 0.501835i | \(-0.832659\pi\) |
0.132628 | + | 0.991166i | \(0.457659\pi\) | |||||||
\(684\) | −10.0201 | − | 6.08347i | −0.383127 | − | 0.232607i | ||||
\(685\) | 9.68546 | + | 48.6921i | 0.370063 | + | 1.86043i | ||||
\(686\) | 16.5483 | + | 2.91986i | 0.631818 | + | 0.111481i | ||||
\(687\) | 1.07078 | − | 1.07078i | 0.0408528 | − | 0.0408528i | ||||
\(688\) | −2.98030 | + | 27.0986i | −0.113623 | + | 1.03312i | ||||
\(689\) | 7.29019 | + | 7.29019i | 0.277734 | + | 0.277734i | ||||
\(690\) | −0.310256 | − | 0.443199i | −0.0118112 | − | 0.0168723i | ||||
\(691\) | 38.0071 | − | 7.56007i | 1.44586 | − | 0.287599i | 0.591088 | − | 0.806607i | \(-0.298699\pi\) |
0.854769 | + | 0.519008i | \(0.173699\pi\) | |||||||
\(692\) | 10.6052 | − | 7.77234i | 0.403149 | − | 0.295460i | ||||
\(693\) | −26.8557 | − | 40.1924i | −1.02016 | − | 1.52678i | ||||
\(694\) | 9.19655 | − | 9.60464i | 0.349096 | − | 0.364587i | ||||
\(695\) | −1.82961 | − | 4.41708i | −0.0694012 | − | 0.167549i | ||||
\(696\) | −0.0492514 | − | 0.184061i | −0.00186687 | − | 0.00697681i | ||||
\(697\) | −11.0137 | + | 26.5895i | −0.417175 | + | 1.00715i | ||||
\(698\) | −0.472718 | + | 0.207937i | −0.0178926 | + | 0.00787052i | ||||
\(699\) | −0.242517 | − | 0.0482395i | −0.00917282 | − | 0.00182459i | ||||
\(700\) | 45.5070 | + | 16.5750i | 1.72000 | + | 0.626475i | ||||
\(701\) | −11.1321 | − | 7.43826i | −0.420455 | − | 0.280939i | 0.327291 | − | 0.944923i | \(-0.393864\pi\) |
−0.747747 | + | 0.663984i | \(0.768864\pi\) | |||||||
\(702\) | −0.490320 | + | 0.769455i | −0.0185059 | + | 0.0290412i | ||||
\(703\) | −1.84240 | −0.0694874 | ||||||||
\(704\) | −12.9262 | − | 38.1653i | −0.487175 | − | 1.43841i | ||||
\(705\) | −1.11911 | −0.0421483 | ||||||||
\(706\) | −21.4443 | + | 33.6523i | −0.807065 | + | 1.26652i | ||||
\(707\) | 42.8183 | + | 28.6103i | 1.61035 | + | 1.07600i | ||||
\(708\) | 0.253005 | − | 0.694633i | 0.00950852 | − | 0.0261059i | ||||
\(709\) | 20.5812 | + | 4.09386i | 0.772944 | + | 0.153748i | 0.565778 | − | 0.824558i | \(-0.308576\pi\) |
0.207166 | + | 0.978306i | \(0.433576\pi\) | |||||||
\(710\) | 44.6480 | − | 19.6395i | 1.67561 | − | 0.737058i | ||||
\(711\) | 13.3206 | − | 32.1588i | 0.499562 | − | 1.20605i | ||||
\(712\) | 18.3802 | − | 31.8103i | 0.688828 | − | 1.19214i | ||||
\(713\) | 1.66851 | + | 4.02814i | 0.0624862 | + | 0.150855i | ||||
\(714\) | −1.13306 | + | 1.18334i | −0.0424036 | + | 0.0442852i | ||||
\(715\) | 11.0986 | + | 16.6102i | 0.415062 | + | 0.621185i | ||||
\(716\) | 28.2274 | + | 38.5157i | 1.05491 | + | 1.43940i | ||||
\(717\) | −1.93060 | + | 0.384020i | −0.0720996 | + | 0.0143415i | ||||
\(718\) | −18.9861 | − | 27.1216i | −0.708555 | − | 1.01217i | ||||
\(719\) | 14.9402 | + | 14.9402i | 0.557174 | + | 0.557174i | 0.928502 | − | 0.371328i | \(-0.121097\pi\) |
−0.371328 | + | 0.928502i | \(0.621097\pi\) | |||||||
\(720\) | −37.1411 | − | 20.3984i | −1.38417 | − | 0.760203i | ||||
\(721\) | 42.8168 | − | 42.8168i | 1.59458 | − | 1.59458i | ||||
\(722\) | 21.1125 | + | 3.72519i | 0.785725 | + | 0.138637i | ||||
\(723\) | 0.366616 | + | 1.84310i | 0.0136346 | + | 0.0685457i | ||||
\(724\) | −9.31327 | + | 15.3399i | −0.346125 | + | 0.570103i | ||||
\(725\) | −4.39480 | + | 2.93651i | −0.163219 | + | 0.109059i | ||||
\(726\) | −1.95410 | + | 0.0424155i | −0.0725236 | + | 0.00157419i | ||||
\(727\) | 25.4837 | − | 10.5557i | 0.945139 | − | 0.391489i | 0.143737 | − | 0.989616i | \(-0.454088\pi\) |
0.801402 | + | 0.598127i | \(0.204088\pi\) | |||||||
\(728\) | −9.62229 | − | 3.27000i | −0.356626 | − | 0.121194i | ||||
\(729\) | 24.4844 | + | 10.1418i | 0.906831 | + | 0.375622i | ||||
\(730\) | −2.89824 | + | 7.45029i | −0.107269 | + | 0.275748i | ||||
\(731\) | −4.99089 | + | 25.0909i | −0.184595 | + | 0.928020i | ||||
\(732\) | 0.435527 | − | 0.475076i | 0.0160975 | − | 0.0175593i | ||||
\(733\) | −22.0843 | + | 33.0515i | −0.815702 | + | 1.22078i | 0.156740 | + | 0.987640i | \(0.449902\pi\) |
−0.972442 | + | 0.233145i | \(0.925098\pi\) | |||||||
\(734\) | −15.1485 | + | 3.35653i | −0.559141 | + | 0.123892i | ||||
\(735\) | 1.12325i | 0.0414318i | ||||||||
\(736\) | −4.86833 | + | 4.08028i | −0.179449 | + | 0.150401i | ||||
\(737\) | − | 33.4488i | − | 1.23210i | ||||||
\(738\) | −7.01550 | − | 31.6620i | −0.258244 | − | 1.16549i | ||||
\(739\) | −19.4284 | + | 29.0766i | −0.714685 | + | 1.06960i | 0.279313 | + | 0.960200i | \(0.409893\pi\) |
−0.993998 | + | 0.109402i | \(0.965107\pi\) | |||||||
\(740\) | −6.65371 | + | 0.288985i | −0.244595 | + | 0.0106233i | ||||
\(741\) | −0.0411742 | + | 0.206997i | −0.00151257 | + | 0.00760421i | ||||
\(742\) | −38.9421 | − | 15.1489i | −1.42961 | − | 0.556132i | ||||
\(743\) | −21.9574 | − | 9.09505i | −0.805539 | − | 0.333665i | −0.0583662 | − | 0.998295i | \(-0.518589\pi\) |
−0.747172 | + | 0.664630i | \(0.768589\pi\) | |||||||
\(744\) | −0.793903 | − | 0.696715i | −0.0291059 | − | 0.0255428i | ||||
\(745\) | −6.94998 | + | 2.87878i | −0.254628 | + | 0.105470i | ||||
\(746\) | −0.745199 | − | 34.3317i | −0.0272837 | − | 1.25697i | ||||
\(747\) | −23.4486 | + | 15.6679i | −0.857941 | + | 0.573258i | ||||
\(748\) | −8.97908 | − | 36.7308i | −0.328308 | − | 1.34301i | ||||
\(749\) | −3.09657 | − | 15.5675i | −0.113146 | − | 0.568824i | ||||
\(750\) | 0.213175 | − | 1.20817i | 0.00778405 | − | 0.0441161i | ||||
\(751\) | 29.0783 | − | 29.0783i | 1.06108 | − | 1.06108i | 0.0630715 | − | 0.998009i | \(-0.479910\pi\) |
0.998009 | − | 0.0630715i | \(-0.0200896\pi\) | |||||||
\(752\) | 1.13924 | + | 13.0905i | 0.0415439 | + | 0.477360i | ||||
\(753\) | −1.01904 | − | 1.01904i | −0.0371357 | − | 0.0371357i | ||||
\(754\) | 0.908603 | − | 0.636056i | 0.0330894 | − | 0.0231638i | ||||
\(755\) | −15.0633 | + | 2.99628i | −0.548211 | + | 0.109046i | ||||
\(756\) | 0.563366 | − | 3.65470i | 0.0204894 | − | 0.132920i | ||||
\(757\) | −8.14810 | − | 12.1945i | −0.296148 | − | 0.443216i | 0.653320 | − | 0.757082i | \(-0.273376\pi\) |
−0.949467 | + | 0.313866i | \(0.898376\pi\) | |||||||
\(758\) | 17.9495 | + | 17.1869i | 0.651956 | + | 0.624255i | ||||
\(759\) | 0.208173 | + | 0.502573i | 0.00755619 | + | 0.0182422i | ||||
\(760\) | −19.4650 | − | 2.56940i | −0.706069 | − | 0.0932018i | ||||
\(761\) | 1.19079 | − | 2.87483i | 0.0431662 | − | 0.104212i | −0.900826 | − | 0.434181i | \(-0.857038\pi\) |
0.943992 | + | 0.329968i | \(0.107038\pi\) | |||||||
\(762\) | −0.425121 | − | 0.966459i | −0.0154005 | − | 0.0350111i | ||||
\(763\) | 0.766783 | + | 0.152523i | 0.0277594 | + | 0.00552169i | ||||
\(764\) | 13.5016 | + | 28.9716i | 0.488472 | + | 1.04816i | ||||
\(765\) | −33.0621 | − | 22.0914i | −1.19536 | − | 0.798717i | ||||
\(766\) | 20.1330 | + | 12.8294i | 0.727435 | + | 0.463544i | ||||
\(767\) | 4.30331 | 0.155383 | ||||||||
\(768\) | 0.621060 | − | 1.40798i | 0.0224106 | − | 0.0508060i | ||||
\(769\) | −1.71536 | −0.0618576 | −0.0309288 | − | 0.999522i | \(-0.509847\pi\) | ||||
−0.0309288 | + | 0.999522i | \(0.509847\pi\) | |||||||
\(770\) | −68.2794 | − | 43.5098i | −2.46062 | − | 1.56798i | ||||
\(771\) | 1.95380 | + | 1.30549i | 0.0703643 | + | 0.0470159i | ||||
\(772\) | 3.11013 | + | 6.67367i | 0.111936 | + | 0.240191i | ||||
\(773\) | −42.9791 | − | 8.54907i | −1.54585 | − | 0.307489i | −0.652830 | − | 0.757505i | \(-0.726418\pi\) |
−0.893020 | + | 0.450016i | \(0.851418\pi\) | |||||||
\(774\) | −11.6068 | − | 26.3866i | −0.417197 | − | 0.948446i | ||||
\(775\) | −11.2131 | + | 27.0709i | −0.402787 | + | 0.972414i | ||||
\(776\) | −14.8477 | − | 1.95992i | −0.533003 | − | 0.0703569i | ||||
\(777\) | −0.111036 | − | 0.268064i | −0.00398338 | − | 0.00961674i | ||||
\(778\) | 17.3392 | + | 16.6024i | 0.621639 | + | 0.595226i | ||||
\(779\) | −8.34814 | − | 12.4939i | −0.299103 | − | 0.447639i | ||||
\(780\) | −0.116230 | + | 0.754015i | −0.00416171 | + | 0.0269981i | ||||
\(781\) | −48.1028 | + | 9.56824i | −1.72125 | + | 0.342378i | ||||
\(782\) | −4.88317 | + | 3.41840i | −0.174622 | + | 0.122242i | ||||
\(783\) | 0.285364 | + | 0.285364i | 0.0101981 | + | 0.0101981i | ||||
\(784\) | 13.1389 | − | 1.14346i | 0.469245 | − | 0.0408377i | ||||
\(785\) | −9.36983 | + | 9.36983i | −0.334424 | + | 0.334424i | ||||
\(786\) | −0.349871 | + | 1.98290i | −0.0124795 | + | 0.0707276i | ||||
\(787\) | 4.53406 | + | 22.7942i | 0.161622 | + | 0.812527i | 0.973498 | + | 0.228697i | \(0.0734465\pi\) |
−0.811876 | + | 0.583830i | \(0.801554\pi\) | |||||||
\(788\) | 5.36973 | + | 21.9660i | 0.191289 | + | 0.782507i | ||||
\(789\) | 1.31909 | − | 0.881385i | 0.0469607 | − | 0.0313781i | ||||
\(790\) | −1.26518 | − | 58.2877i | −0.0450133 | − | 2.07378i | ||||
\(791\) | −29.1691 | + | 12.0822i | −1.03713 | + | 0.429595i | ||||
\(792\) | 32.0243 | + | 28.1039i | 1.13793 | + | 0.998630i | ||||
\(793\) | 3.46606 | + | 1.43569i | 0.123083 | + | 0.0509828i | ||||
\(794\) | 5.36355 | + | 2.08648i | 0.190345 | + | 0.0740463i | ||||
\(795\) | −0.611959 | + | 3.07653i | −0.0217040 | + | 0.109113i | ||||
\(796\) | −17.8316 | + | 0.774466i | −0.632025 | + | 0.0274502i | ||||
\(797\) | −13.4092 | + | 20.0683i | −0.474979 | + | 0.710856i | −0.989163 | − | 0.146824i | \(-0.953095\pi\) |
0.514184 | + | 0.857680i | \(0.328095\pi\) | |||||||
\(798\) | −0.185041 | − | 0.835117i | −0.00655038 | − | 0.0295628i | ||||
\(799\) | 12.3304i | 0.436219i | ||||||||
\(800\) | −42.5244 | − | 3.74486i | −1.50346 | − | 0.132401i | ||||
\(801\) | 38.8470i | 1.37259i | ||||||||
\(802\) | 33.2498 | − | 7.36732i | 1.17409 | − | 0.260149i | ||||
\(803\) | 4.46577 | − | 6.68350i | 0.157594 | − | 0.235856i | ||||
\(804\) | 0.863224 | − | 0.941612i | 0.0304436 | − | 0.0332081i | ||||
\(805\) | −2.48999 | + | 12.5180i | −0.0877605 | + | 0.441202i | ||||
\(806\) | 2.22910 | − | 5.73020i | 0.0785169 | − | 0.201838i | ||||
\(807\) | 0.559777 | + | 0.231867i | 0.0197051 | + | 0.00816211i | ||||
\(808\) | −42.9771 | − | 14.6052i | −1.51193 | − | 0.513809i | ||||
\(809\) | 13.0913 | − | 5.42259i | 0.460266 | − | 0.190648i | −0.140488 | − | 0.990082i | \(-0.544867\pi\) |
0.600754 | + | 0.799434i | \(0.294867\pi\) | |||||||
\(810\) | 44.6563 | − | 0.969304i | 1.56906 | − | 0.0340579i | ||||
\(811\) | 40.1862 | − | 26.8515i | 1.41113 | − | 0.942885i | 0.411624 | − | 0.911354i | \(-0.364962\pi\) |
0.999503 | − | 0.0315313i | \(-0.0100384\pi\) | |||||||
\(812\) | −2.33282 | + | 3.84239i | −0.0818659 | + | 0.134841i | ||||
\(813\) | −0.583835 | − | 2.93513i | −0.0204760 | − | 0.102940i | ||||
\(814\) | 6.59478 | + | 1.16361i | 0.231147 | + | 0.0407847i | ||||
\(815\) | 60.2785 | − | 60.2785i | 2.11146 | − | 2.11146i | ||||
\(816\) | 0.695156 | − | 1.26573i | 0.0243353 | − | 0.0443094i | ||||
\(817\) | −9.44458 | − | 9.44458i | −0.330424 | − | 0.330424i | ||||
\(818\) | −23.5288 | − | 33.6108i | −0.822667 | − | 1.17518i | ||||
\(819\) | 10.5395 | − | 2.09644i | 0.368280 | − | 0.0732555i | ||||
\(820\) | −32.1085 | − | 43.8114i | −1.12128 | − | 1.52996i | ||||
\(821\) | 19.0683 | + | 28.5378i | 0.665489 | + | 0.995975i | 0.998590 | + | 0.0530841i | \(0.0169051\pi\) |
−0.333101 | + | 0.942891i | \(0.608095\pi\) | |||||||
\(822\) | 1.31848 | − | 1.37699i | 0.0459872 | − | 0.0480279i | ||||
\(823\) | −10.9732 | − | 26.4916i | −0.382500 | − | 0.923437i | −0.991481 | − | 0.130252i | \(-0.958421\pi\) |
0.608981 | − | 0.793185i | \(-0.291579\pi\) | |||||||
\(824\) | −26.7020 | + | 46.2126i | −0.930208 | + | 1.60989i | ||||
\(825\) | −1.39901 | + | 3.37751i | −0.0487073 | + | 0.117590i | ||||
\(826\) | −15.9646 | + | 7.02242i | −0.555480 | + | 0.244341i | ||||
\(827\) | 5.52679 | + | 1.09935i | 0.192185 | + | 0.0382280i | 0.290244 | − | 0.956953i | \(-0.406263\pi\) |
−0.0980591 | + | 0.995181i | \(0.531263\pi\) | |||||||
\(828\) | 2.29867 | − | 6.31107i | 0.0798844 | − | 0.219325i | ||||
\(829\) | −25.3564 | − | 16.9426i | −0.880663 | − | 0.588440i | 0.0309356 | − | 0.999521i | \(-0.490151\pi\) |
−0.911599 | + | 0.411081i | \(0.865151\pi\) | |||||||
\(830\) | −25.3840 | + | 39.8349i | −0.881092 | + | 1.38269i | ||||
\(831\) | −1.94962 | −0.0676314 | ||||||||
\(832\) | 8.93815 | + | 0.591986i | 0.309875 | + | 0.0205234i | ||||
\(833\) | 12.3760 | 0.428804 | ||||||||
\(834\) | −0.0986621 | + | 0.154830i | −0.00341639 | + | 0.00536131i | ||||
\(835\) | 49.8433 | + | 33.3042i | 1.72490 | + | 1.15254i | ||||
\(836\) | 18.5498 | + | 6.75637i | 0.641558 | + | 0.233674i | ||||
\(837\) | 2.19423 | + | 0.436460i | 0.0758438 | + | 0.0150863i | ||||
\(838\) | 12.4059 | − | 5.45702i | 0.428553 | − | 0.188510i | ||||
\(839\) | −18.4654 | + | 44.5794i | −0.637496 | + | 1.53905i | 0.192508 | + | 0.981295i | \(0.438338\pi\) |
−0.830004 | + | 0.557757i | \(0.811662\pi\) | |||||||
\(840\) | −0.799254 | − | 2.98695i | −0.0275769 | − | 0.103060i | ||||
\(841\) | 10.9101 | + | 26.3393i | 0.376210 | + | 0.908251i | ||||
\(842\) | 33.4693 | − | 34.9545i | 1.15343 | − | 1.20461i | ||||
\(843\) | −1.21673 | − | 1.82096i | −0.0419064 | − | 0.0627173i | ||||
\(844\) | 15.8543 | − | 11.6193i | 0.545729 | − | 0.399953i | ||||
\(845\) | 40.8068 | − | 8.11698i | 1.40380 | − | 0.279232i | ||||
\(846\) | −7.96799 | − | 11.3822i | −0.273945 | − | 0.391329i | ||||
\(847\) | 32.6060 | + | 32.6060i | 1.12035 | + | 1.12035i | ||||
\(848\) | 36.6096 | + | 4.02632i | 1.25718 | + | 0.138264i | ||||
\(849\) | −2.04043 | + | 2.04043i | −0.0700274 | + | 0.0700274i | ||||
\(850\) | −39.4496 | − | 6.96068i | −1.35311 | − | 0.238749i | ||||
\(851\) | −0.205950 | − | 1.03538i | −0.00705989 | − | 0.0354924i | ||||
\(852\) | −1.60107 | − | 0.972051i | −0.0548516 | − | 0.0333019i | ||||
\(853\) | 27.7758 | − | 18.5592i | 0.951025 | − | 0.635455i | 0.0197631 | − | 0.999805i | \(-0.493709\pi\) |
0.931262 | + | 0.364350i | \(0.118709\pi\) | |||||||
\(854\) | −15.2014 | + | 0.329959i | −0.520181 | + | 0.0112910i | ||||
\(855\) | 19.1803 | − | 7.94474i | 0.655952 | − | 0.271704i | ||||
\(856\) | 6.18352 | + | 12.5498i | 0.211349 | + | 0.428943i | ||||
\(857\) | −18.0760 | − | 7.48732i | −0.617464 | − | 0.255762i | 0.0519523 | − | 0.998650i | \(-0.483456\pi\) |
−0.669416 | + | 0.742888i | \(0.733456\pi\) | |||||||
\(858\) | 0.278115 | − | 0.714931i | 0.00949470 | − | 0.0244073i | ||||
\(859\) | 5.83867 | − | 29.3530i | 0.199213 | − | 1.00151i | −0.743711 | − | 0.668501i | \(-0.766936\pi\) |
0.942924 | − | 0.333009i | \(-0.108064\pi\) | |||||||
\(860\) | −35.5899 | − | 32.6271i | −1.21361 | − | 1.11258i | ||||
\(861\) | 1.31471 | − | 1.96760i | 0.0448051 | − | 0.0670555i | ||||
\(862\) | 30.4818 | − | 6.75400i | 1.03821 | − | 0.230042i | ||||
\(863\) | − | 6.59334i | − | 0.224440i | −0.993683 | − | 0.112220i | \(-0.964204\pi\) | ||
0.993683 | − | 0.112220i | \(-0.0357961\pi\) | |||||||
\(864\) | 0.352991 | + | 3.24023i | 0.0120090 | + | 0.110235i | ||||
\(865\) | 23.2864i | 0.791760i | ||||||||
\(866\) | −0.981836 | − | 4.43117i | −0.0333642 | − | 0.150577i | ||||
\(867\) | −0.155531 | + | 0.232769i | −0.00528212 | + | 0.00790525i | ||||
\(868\) | 1.08128 | + | 24.8957i | 0.0367009 | + | 0.845017i | ||||
\(869\) | −11.4367 | + | 57.4960i | −0.387962 | + | 1.95042i | ||||
\(870\) | 0.314491 | + | 0.122340i | 0.0106622 | + | 0.00414772i | ||||
\(871\) | 6.86980 | + | 2.84556i | 0.232774 | + | 0.0964183i | ||||
\(872\) | −0.687645 | + | 0.0448341i | −0.0232866 | + | 0.00151827i | ||||
\(873\) | 14.6306 | − | 6.06019i | 0.495170 | − | 0.205106i | ||||
\(874\) | −0.0675356 | − | 3.11140i | −0.00228443 | − | 0.105245i | ||||
\(875\) | −24.0654 | + | 16.0800i | −0.813560 | + | 0.543603i | ||||
\(876\) | 0.298199 | − | 0.0728966i | 0.0100752 | − | 0.00246295i | ||||
\(877\) | −8.27377 | − | 41.5950i | −0.279385 | − | 1.40456i | −0.824338 | − | 0.566098i | \(-0.808452\pi\) |
0.544953 | − | 0.838467i | \(-0.316548\pi\) | |||||||
\(878\) | −5.96046 | + | 33.7809i | −0.201156 | + | 1.14005i | ||||
\(879\) | −1.25257 | + | 1.25257i | −0.0422480 | + | 0.0422480i | ||||
\(880\) | 68.0513 | + | 21.4906i | 2.29401 | + | 0.724450i | ||||
\(881\) | −16.3212 | − | 16.3212i | −0.549874 | − | 0.549874i | 0.376530 | − | 0.926404i | \(-0.377117\pi\) |
−0.926404 | + | 0.376530i | \(0.877117\pi\) | |||||||
\(882\) | −11.4243 | + | 7.99746i | −0.384677 | + | 0.269288i | ||||
\(883\) | −26.8219 | + | 5.33522i | −0.902630 | + | 0.179544i | −0.624524 | − | 0.781006i | \(-0.714707\pi\) |
−0.278107 | + | 0.960550i | \(0.589707\pi\) | |||||||
\(884\) | 8.30775 | + | 1.28063i | 0.279420 | + | 0.0430721i | ||||
\(885\) | 0.727402 | + | 1.08863i | 0.0244513 | + | 0.0365940i | ||||
\(886\) | 28.9769 | + | 27.7457i | 0.973497 | + | 0.932134i | ||||
\(887\) | −2.57395 | − | 6.21406i | −0.0864248 | − | 0.208648i | 0.874758 | − | 0.484560i | \(-0.161020\pi\) |
−0.961183 | + | 0.275912i | \(0.911020\pi\) | |||||||
\(888\) | 0.155619 | + | 0.202951i | 0.00522224 | + | 0.00681058i | ||||
\(889\) | −9.53223 | + | 23.0128i | −0.319701 | + | 0.771826i | ||||
\(890\) | 26.1982 | + | 59.5585i | 0.878167 | + | 1.99640i | ||||
\(891\) | −44.0498 | − | 8.76205i | −1.47572 | − | 0.293540i | ||||
\(892\) | 21.2448 | − | 9.90073i | 0.711330 | − | 0.331501i | ||||
\(893\) | −5.35279 | − | 3.57662i | −0.179124 | − | 0.119687i | ||||
\(894\) | 0.243614 | + | 0.155238i | 0.00814767 | + | 0.00519195i | ||||
\(895\) | −84.5708 | −2.82689 | ||||||||
\(896\) | −34.1252 | + | 12.3897i | −1.14004 | + | 0.413910i | ||||
\(897\) | −0.120930 | −0.00403772 | ||||||||
\(898\) | −36.0598 | − | 22.9784i | −1.20333 | − | 0.766799i | ||||
\(899\) | −2.26123 | − | 1.51090i | −0.0754162 | − | 0.0503915i | ||||
\(900\) | 40.9141 | − | 19.0672i | 1.36380 | − | 0.635572i | ||||
\(901\) | 33.8972 | + | 6.74258i | 1.12928 | + | 0.224628i | ||||
\(902\) | 21.9910 | + | 49.9937i | 0.732219 | + | 1.66461i | ||||
\(903\) | 0.804964 | − | 1.94336i | 0.0267875 | − | 0.0646708i | ||||
\(904\) | 22.0839 | − | 16.9335i | 0.734498 | − | 0.563201i | ||||
\(905\) | −12.1627 | − | 29.3634i | −0.404303 | − | 0.976073i | ||||
\(906\) | 0.425983 | + | 0.407883i | 0.0141523 | + | 0.0135510i | ||||
\(907\) | 17.8600 | + | 26.7294i | 0.593033 | + | 0.887537i | 0.999660 | − | 0.0260574i | \(-0.00829526\pi\) |
−0.406627 | + | 0.913594i | \(0.633295\pi\) | |||||||
\(908\) | 15.7794 | + | 2.43238i | 0.523659 | + | 0.0807213i | ||||
\(909\) | 47.0738 | − | 9.36356i | 1.56134 | − | 0.310570i | ||||
\(910\) | 14.7448 | − | 10.3219i | 0.488787 | − | 0.342169i | ||||
\(911\) | −7.66743 | − | 7.66743i | −0.254033 | − | 0.254033i | 0.568589 | − | 0.822622i | \(-0.307490\pi\) |
−0.822622 | + | 0.568589i | \(0.807490\pi\) | |||||||
\(912\) | 0.347829 | + | 0.668919i | 0.0115178 | + | 0.0221501i | ||||
\(913\) | 33.5843 | − | 33.5843i | 1.11148 | − | 1.11148i | ||||
\(914\) | −6.76179 | + | 38.3224i | −0.223660 | + | 1.26759i | ||||
\(915\) | 0.222684 | + | 1.11951i | 0.00736171 | + | 0.0370098i | ||||
\(916\) | 30.5886 | − | 7.47759i | 1.01068 | − | 0.247067i | ||||
\(917\) | 39.4971 | − | 26.3911i | 1.30431 | − | 0.871512i | ||||
\(918\) | 0.0663738 | + | 3.05788i | 0.00219066 | + | 0.100925i | ||||
\(919\) | −45.2071 | + | 18.7254i | −1.49124 | + | 0.617693i | −0.971587 | − | 0.236682i | \(-0.923940\pi\) |
−0.519656 | + | 0.854376i | \(0.673940\pi\) | |||||||
\(920\) | −0.731933 | − | 11.2260i | −0.0241311 | − | 0.370112i | ||||
\(921\) | 0.0566026 | + | 0.0234456i | 0.00186512 | + | 0.000772558i | ||||
\(922\) | −1.09422 | − | 0.425662i | −0.0360362 | − | 0.0140184i | ||||
\(923\) | 2.12706 | − | 10.6935i | 0.0700132 | − | 0.351980i | ||||
\(924\) | 0.134906 | + | 3.10613i | 0.00443808 | + | 0.102184i | ||||
\(925\) | 3.94151 | − | 5.89889i | 0.129596 | − | 0.193954i | ||||
\(926\) | 9.33311 | + | 42.1217i | 0.306705 | + | 1.38421i | ||||
\(927\) | − | 56.4353i | − | 1.85358i | ||||||
\(928\) | 1.11088 | − | 3.80319i | 0.0364666 | − | 0.124846i | ||||
\(929\) | − | 31.1191i | − | 1.02098i | −0.859883 | − | 0.510492i | \(-0.829463\pi\) | ||
0.859883 | − | 0.510492i | \(-0.170537\pi\) | |||||||
\(930\) | 1.82640 | − | 0.404683i | 0.0598899 | − | 0.0132701i | ||||
\(931\) | −3.58984 | + | 5.37258i | −0.117652 | + | 0.176079i | ||||
\(932\) | −3.79015 | − | 3.47462i | −0.124150 | − | 0.113815i | ||||
\(933\) | −0.190160 | + | 0.956001i | −0.00622557 | + | 0.0312981i | ||||
\(934\) | −3.67294 | + | 9.44175i | −0.120182 | + | 0.308943i | ||||
\(935\) | 61.8699 | + | 25.6273i | 2.02336 | + | 0.838104i | ||||
\(936\) | −8.49645 | + | 4.18637i | −0.277715 | + | 0.136836i | ||||
\(937\) | −17.7192 | + | 7.33952i | −0.578860 | + | 0.239772i | −0.652850 | − | 0.757487i | \(-0.726427\pi\) |
0.0739899 | + | 0.997259i | \(0.476427\pi\) | |||||||
\(938\) | −30.1295 | + | 0.653986i | −0.983762 | + | 0.0213534i | ||||
\(939\) | 1.58997 | − | 1.06239i | 0.0518868 | − | 0.0346696i | ||||
\(940\) | −19.8923 | − | 12.0771i | −0.648814 | − | 0.393913i | ||||
\(941\) | −0.147266 | − | 0.740357i | −0.00480074 | − | 0.0241350i | 0.978311 | − | 0.207143i | \(-0.0664165\pi\) |
−0.983111 | + | 0.183008i | \(0.941417\pi\) | |||||||
\(942\) | 0.501102 | + | 0.0884168i | 0.0163268 | + | 0.00288077i | ||||
\(943\) | 6.08806 | − | 6.08806i | 0.198254 | − | 0.198254i | ||||
\(944\) | 11.9934 | − | 9.61675i | 0.390353 | − | 0.312999i | ||||
\(945\) | 4.63090 | + | 4.63090i | 0.150643 | + | 0.150643i | ||||
\(946\) | 27.8415 | + | 39.7714i | 0.905205 | + | 1.29308i | ||||
\(947\) | 20.3435 | − | 4.04657i | 0.661074 | − | 0.131496i | 0.146860 | − | 0.989157i | \(-0.453083\pi\) |
0.514215 | + | 0.857662i | \(0.328083\pi\) | |||||||
\(948\) | −1.80577 | + | 1.32341i | −0.0586488 | + | 0.0429825i | ||||
\(949\) | 0.992762 | + | 1.48577i | 0.0322264 | + | 0.0482302i | ||||
\(950\) | 14.4646 | − | 15.1065i | 0.469295 | − | 0.490120i | ||||
\(951\) | −0.412162 | − | 0.995046i | −0.0133653 | − | 0.0322666i | ||||
\(952\) | −32.9103 | + | 8.80620i | −1.06663 | + | 0.285411i | ||||
\(953\) | −3.75053 | + | 9.05459i | −0.121492 | + | 0.293307i | −0.972911 | − | 0.231178i | \(-0.925742\pi\) |
0.851420 | + | 0.524485i | \(0.175742\pi\) | |||||||
\(954\) | −35.6477 | + | 15.6805i | −1.15414 | + | 0.507675i | ||||
\(955\) | −55.5206 | − | 11.0437i | −1.79661 | − | 0.357367i | ||||
\(956\) | −38.4607 | − | 14.0085i | −1.24391 | − | 0.453067i | ||||
\(957\) | −0.282123 | − | 0.188509i | −0.00911975 | − | 0.00609362i | ||||
\(958\) | 1.68515 | − | 2.64449i | 0.0544447 | − | 0.0854395i | ||||
\(959\) | −44.9762 | −1.45236 | ||||||||
\(960\) | 1.36109 | + | 2.36120i | 0.0439288 | + | 0.0762075i | ||||
\(961\) | 15.9238 | 0.513670 | ||||||||
\(962\) | −0.800020 | + | 1.25546i | −0.0257937 | + | 0.0404778i | ||||
\(963\) | −12.3002 | − | 8.21875i | −0.396370 | − | 0.264846i | ||||
\(964\) | −13.3736 | + | 36.7176i | −0.430735 | + | 1.18259i | ||||
\(965\) | −12.7893 | − | 2.54395i | −0.411702 | − | 0.0818926i | ||||
\(966\) | 0.448630 | − | 0.197341i | 0.0144344 | − | 0.00634934i | ||||
\(967\) | −14.0556 | + | 33.9332i | −0.451997 | + | 1.09122i | 0.519564 | + | 0.854431i | \(0.326094\pi\) |
−0.971562 | + | 0.236787i | \(0.923906\pi\) | |||||||
\(968\) | −35.1920 | − | 20.3342i | −1.13111 | − | 0.653565i | ||||
\(969\) | 0.270748 | + | 0.653644i | 0.00869769 | + | 0.0209981i | ||||
\(970\) | 18.3440 | − | 19.1580i | 0.588989 | − | 0.615126i | ||||
\(971\) | −19.9404 | − | 29.8428i | −0.639916 | − | 0.957702i | −0.999696 | − | 0.0246651i | \(-0.992148\pi\) |
0.359779 | − | 0.933037i | \(-0.382852\pi\) | |||||||
\(972\) | −3.05750 | − | 4.17191i | −0.0980695 | − | 0.133814i | ||||
\(973\) | 4.24807 | − | 0.844994i | 0.136187 | − | 0.0270893i | ||||
\(974\) | −7.99016 | − | 11.4139i | −0.256021 | − | 0.365725i | ||||
\(975\) | −0.574665 | − | 0.574665i | −0.0184040 | − | 0.0184040i | ||||
\(976\) | 12.8684 | − | 3.74441i | 0.411907 | − | 0.119856i | ||||
\(977\) | −17.1968 | + | 17.1968i | −0.550174 | + | 0.550174i | −0.926491 | − | 0.376317i | \(-0.877190\pi\) |
0.376317 | + | 0.926491i | \(0.377190\pi\) | |||||||
\(978\) | −3.22371 | − | 0.568807i | −0.103083 | − | 0.0181884i | ||||
\(979\) | −12.7636 | − | 64.1669i | −0.407926 | − | 2.05078i | ||||
\(980\) | −12.1218 | + | 19.9658i | −0.387217 | + | 0.637785i | ||||
\(981\) | 0.605852 | − | 0.404818i | 0.0193434 | − | 0.0129248i | ||||
\(982\) | 16.2901 | − | 0.353591i | 0.519839 | − | 0.0112835i | ||||
\(983\) | 45.7275 | − | 18.9410i | 1.45848 | − | 0.604123i | 0.494282 | − | 0.869301i | \(-0.335431\pi\) |
0.964199 | + | 0.265178i | \(0.0854309\pi\) | |||||||
\(984\) | −0.671141 | + | 1.97490i | −0.0213952 | + | 0.0629574i | ||||
\(985\) | −36.9998 | − | 15.3258i | −1.17891 | − | 0.488322i | ||||
\(986\) | 1.34795 | − | 3.46507i | 0.0429274 | − | 0.110350i | ||||
\(987\) | 0.197792 | − | 0.994367i | 0.00629579 | − | 0.0316511i | ||||
\(988\) | −2.96572 | + | 3.23503i | −0.0943520 | + | 0.102920i | ||||
\(989\) | 4.25187 | − | 6.36337i | 0.135201 | − | 0.202343i | ||||
\(990\) | −73.6727 | + | 16.3240i | −2.34147 | + | 0.518812i | ||||
\(991\) | 19.1024i | 0.606808i | 0.952862 | + | 0.303404i | \(0.0981232\pi\) | ||||
−0.952862 | + | 0.303404i | \(0.901877\pi\) | |||||||
\(992\) | −6.59289 | − | 20.9517i | −0.209325 | − | 0.665216i | ||||
\(993\) | − | 0.450997i | − | 0.0143120i | ||||||
\(994\) | 9.55923 | + | 43.1422i | 0.303200 | + | 1.36839i | ||||
\(995\) | 17.5618 | − | 26.2831i | 0.556746 | − | 0.833229i | ||||
\(996\) | 1.81215 | − | 0.0787055i | 0.0574201 | − | 0.00249388i | ||||
\(997\) | −9.04071 | + | 45.4507i | −0.286322 | + | 1.43944i | 0.523130 | + | 0.852253i | \(0.324764\pi\) |
−0.809452 | + | 0.587186i | \(0.800236\pi\) | |||||||
\(998\) | −26.3569 | − | 10.2531i | −0.834314 | − | 0.324557i | ||||
\(999\) | −0.500451 | − | 0.207293i | −0.0158336 | − | 0.00655847i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 64.2.i.a.5.6 | ✓ | 56 | |
3.2 | odd | 2 | 576.2.bd.a.325.2 | 56 | |||
4.3 | odd | 2 | 256.2.i.a.113.4 | 56 | |||
8.3 | odd | 2 | 512.2.i.a.481.4 | 56 | |||
8.5 | even | 2 | 512.2.i.b.481.4 | 56 | |||
64.13 | even | 16 | inner | 64.2.i.a.13.6 | yes | 56 | |
64.19 | odd | 16 | 512.2.i.a.33.4 | 56 | |||
64.45 | even | 16 | 512.2.i.b.33.4 | 56 | |||
64.51 | odd | 16 | 256.2.i.a.145.4 | 56 | |||
192.77 | odd | 16 | 576.2.bd.a.397.2 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.5.6 | ✓ | 56 | 1.1 | even | 1 | trivial | |
64.2.i.a.13.6 | yes | 56 | 64.13 | even | 16 | inner | |
256.2.i.a.113.4 | 56 | 4.3 | odd | 2 | |||
256.2.i.a.145.4 | 56 | 64.51 | odd | 16 | |||
512.2.i.a.33.4 | 56 | 64.19 | odd | 16 | |||
512.2.i.a.481.4 | 56 | 8.3 | odd | 2 | |||
512.2.i.b.33.4 | 56 | 64.45 | even | 16 | |||
512.2.i.b.481.4 | 56 | 8.5 | even | 2 | |||
576.2.bd.a.325.2 | 56 | 3.2 | odd | 2 | |||
576.2.bd.a.397.2 | 56 | 192.77 | odd | 16 |